diff --git a/docusaurus/yarn.lock b/docusaurus/yarn.lock
index 34525e404..b6abb718d 100644
--- a/docusaurus/yarn.lock
+++ b/docusaurus/yarn.lock
@@ -194,18 +194,18 @@
     "@jridgewell/gen-mapping" "^0.3.5"
     "@jridgewell/trace-mapping" "^0.3.24"
 
-"@antfu/install-pkg@^1.0.0":
+"@antfu/install-pkg@^1.1.0":
   version "1.1.0"
-  resolved "https://registry.npmjs.org/@antfu/install-pkg/-/install-pkg-1.1.0.tgz"
+  resolved "https://registry.yarnpkg.com/@antfu/install-pkg/-/install-pkg-1.1.0.tgz#78fa036be1a6081b5a77a5cf59f50c7752b6ba26"
   integrity sha512-MGQsmw10ZyI+EJo45CdSER4zEb+p31LpDAFp2Z3gkSd1yqVZGi0Ebx++YTEMonJy4oChEMLsxZ64j8FH6sSqtQ==
   dependencies:
     package-manager-detector "^1.3.0"
     tinyexec "^1.0.1"
 
-"@antfu/utils@^8.1.0":
-  version "8.1.1"
-  resolved "https://registry.npmjs.org/@antfu/utils/-/utils-8.1.1.tgz"
-  integrity sha512-Mex9nXf9vR6AhcXmMrlz/HVgYYZpVGJ6YlPgwl7UnaFpnshXs6EK/oa5Gpf3CzENMjkvEx2tQtntGnb7UtSTOQ==
+"@antfu/utils@^9.2.0":
+  version "9.3.0"
+  resolved "https://registry.yarnpkg.com/@antfu/utils/-/utils-9.3.0.tgz#e05e277f788ac3bec771f57a49fb64546bb32374"
+  integrity sha512-9hFT4RauhcUzqOE4f1+frMKLZrgNog5b06I7VmZQV1BkvwvqrbC8EBZf3L1eEL2AKb6rNKjER0sEvJiSP1FXEA==
 
 "@babel/code-frame@^7.0.0", "@babel/code-frame@^7.27.1":
   version "7.27.1"
@@ -1092,9 +1092,9 @@
     "@babel/helper-string-parser" "^7.27.1"
     "@babel/helper-validator-identifier" "^7.27.1"
 
-"@braintree/sanitize-url@^7.0.4":
+"@braintree/sanitize-url@^7.1.1":
   version "7.1.1"
-  resolved "https://registry.npmjs.org/@braintree/sanitize-url/-/sanitize-url-7.1.1.tgz"
+  resolved "https://registry.yarnpkg.com/@braintree/sanitize-url/-/sanitize-url-7.1.1.tgz#15e19737d946559289b915e5dad3b4c28407735e"
   integrity sha512-i1L7noDNxtFyL5DmZafWy1wRVhGehQmzZaz1HiN5e7iylJMSZR7ekOV7NsIqa5qBldlLrsKv4HbgFUVlQrz8Mw==
 
 "@chevrotain/cst-dts-gen@11.0.3":
@@ -2029,18 +2029,18 @@
   resolved "https://registry.npmjs.org/@iconify/types/-/types-2.0.0.tgz"
   integrity sha512-+wluvCrRhXrhyOmRDJ3q8mux9JkKy5SJ/v8ol2tu4FVjyYvtEzkc/3pK15ET6RKg4b4w4BmTk1+gsCUhf21Ykg==
 
-"@iconify/utils@^2.1.33":
-  version "2.3.0"
-  resolved "https://registry.npmjs.org/@iconify/utils/-/utils-2.3.0.tgz"
-  integrity sha512-GmQ78prtwYW6EtzXRU1rY+KwOKfz32PD7iJh6Iyqw68GiKuoZ2A6pRtzWONz5VQJbp50mEjXh/7NkumtrAgRKA==
+"@iconify/utils@^3.0.1":
+  version "3.0.2"
+  resolved "https://registry.yarnpkg.com/@iconify/utils/-/utils-3.0.2.tgz#9599607f20690cd3e7a5d2d459af0eb81a89dc2b"
+  integrity sha512-EfJS0rLfVuRuJRn4psJHtK2A9TqVnkxPpHY6lYHiB9+8eSuudsxbwMiavocG45ujOo6FJ+CIRlRnlOGinzkaGQ==
   dependencies:
-    "@antfu/install-pkg" "^1.0.0"
-    "@antfu/utils" "^8.1.0"
+    "@antfu/install-pkg" "^1.1.0"
+    "@antfu/utils" "^9.2.0"
     "@iconify/types" "^2.0.0"
-    debug "^4.4.0"
-    globals "^15.14.0"
+    debug "^4.4.1"
+    globals "^15.15.0"
     kolorist "^1.8.0"
-    local-pkg "^1.0.0"
+    local-pkg "^1.1.1"
     mlly "^1.7.4"
 
 "@jest/schemas@^29.6.3":
@@ -2144,10 +2144,10 @@
   dependencies:
     "@types/mdx" "^2.0.0"
 
-"@mermaid-js/parser@^0.4.0":
-  version "0.4.0"
-  resolved "https://registry.npmjs.org/@mermaid-js/parser/-/parser-0.4.0.tgz"
-  integrity sha512-wla8XOWvQAwuqy+gxiZqY+c7FokraOTHRWMsbB4AgRx9Sy7zKslNyejy7E+a77qHfey5GXw/ik3IXv/NHMJgaA==
+"@mermaid-js/parser@^0.6.3":
+  version "0.6.3"
+  resolved "https://registry.yarnpkg.com/@mermaid-js/parser/-/parser-0.6.3.tgz#3ce92dad2c5d696d29e11e21109c66a7886c824e"
+  integrity sha512-lnjOhe7zyHjc+If7yT4zoedx2vo4sHaTmtkl1+or8BRTnCtDmcTpAjpzDSfCZrshM5bCoz0GyidzadJAH1xobA==
   dependencies:
     langium "3.3.1"
 
@@ -3945,9 +3945,9 @@ confbox@^0.1.8:
   resolved "https://registry.npmjs.org/confbox/-/confbox-0.1.8.tgz"
   integrity sha512-RMtmw0iFkeR4YV+fUOSucriAQNb9g8zFR52MWCtl+cCZOFRNL6zeB395vPzFhEjjn4fMxXudmELnl/KF/WrK6w==
 
-confbox@^0.2.1:
+confbox@^0.2.2:
   version "0.2.2"
-  resolved "https://registry.npmjs.org/confbox/-/confbox-0.2.2.tgz"
+  resolved "https://registry.yarnpkg.com/confbox/-/confbox-0.2.2.tgz#8652f53961c74d9e081784beed78555974a9c110"
   integrity sha512-1NB+BKqhtNipMsov4xI/NnhCKp9XG9NamYp5PVm9klAT0fsrNPjaFICsCFhNhwZJKNh7zB/3q8qXz0E9oaMNtQ==
 
 config-chain@^1.1.11:
@@ -4578,10 +4578,10 @@ d3@^7.9.0:
     d3-transition "3"
     d3-zoom "3"
 
-dagre-d3-es@7.0.11:
-  version "7.0.11"
-  resolved "https://registry.npmjs.org/dagre-d3-es/-/dagre-d3-es-7.0.11.tgz"
-  integrity sha512-tvlJLyQf834SylNKax8Wkzco/1ias1OPw8DcUMDE7oUIoSEW25riQVuiu/0OWEFqT0cxHT3Pa9/D82Jr47IONw==
+dagre-d3-es@7.0.13:
+  version "7.0.13"
+  resolved "https://registry.yarnpkg.com/dagre-d3-es/-/dagre-d3-es-7.0.13.tgz#acfb4b449f6dcdd48d8ea8081a6d8c59bc8128c3"
+  integrity sha512-efEhnxpSuwpYOKRm/L5KbqoZmNNukHa/Flty4Wp62JRvgH2ojwVgPgdYyr4twpieZnyRDdIH7PY2mopX26+j2Q==
   dependencies:
     d3 "^7.9.0"
     lodash-es "^4.17.21"
@@ -4610,10 +4610,10 @@ dashjs@^5.0.3:
     path-browserify "^1.0.1"
     ua-parser-js "^1.0.37"
 
-dayjs@^1.11.13:
-  version "1.11.13"
-  resolved "https://registry.npmjs.org/dayjs/-/dayjs-1.11.13.tgz"
-  integrity sha512-oaMBel6gjolK862uaPQOVTA7q3TZhuSvuMQAAglQDOWYO9A91IrAOUJEyKVlqJlHE0vq5p5UXxzdPfMH/x6xNg==
+dayjs@^1.11.18:
+  version "1.11.19"
+  resolved "https://registry.yarnpkg.com/dayjs/-/dayjs-1.11.19.tgz#15dc98e854bb43917f12021806af897c58ae2938"
+  integrity sha512-t5EcLVS6QPBNqM2z8fakk/NKel+Xzshgt8FFKAn+qwlD1pzZWxh0nVCrvFK7ZDb6XucZeF9z8C7CBWTRIVApAw==
 
 debounce@^1.2.1:
   version "1.2.1"
@@ -4627,13 +4627,20 @@ debug@2.6.9:
   dependencies:
     ms "2.0.0"
 
-debug@4, debug@^4.0.0, debug@^4.1.0, debug@^4.1.1, debug@^4.3.1, debug@^4.4.0:
+debug@4, debug@^4.0.0, debug@^4.1.0, debug@^4.1.1, debug@^4.3.1:
   version "4.4.0"
   resolved "https://registry.npmjs.org/debug/-/debug-4.4.0.tgz"
   integrity sha512-6WTZ/IxCY/T6BALoZHaE4ctp9xm+Z5kY/pzYaCHRFeyVhojxlrm+46y68HA6hr0TcwEssoxNiDEUJQjfPZ/RYA==
   dependencies:
     ms "^2.1.3"
 
+debug@^4.4.1:
+  version "4.4.3"
+  resolved "https://registry.yarnpkg.com/debug/-/debug-4.4.3.tgz#c6ae432d9bd9662582fce08709b038c58e9e3d6a"
+  integrity sha512-RGwwWnwQvkVfavKVt22FGLw+xYSdzARwm0ru6DhTVA3umU5hZc28V3kO4stgYryrTlLpuvgI9GiijltAjNbcqA==
+  dependencies:
+    ms "^2.1.3"
+
 decko@^1.2.0:
   version "1.2.0"
   resolved "https://registry.npmjs.org/decko/-/decko-1.2.0.tgz"
@@ -4825,13 +4832,20 @@ domhandler@^5.0.2, domhandler@^5.0.3:
   dependencies:
     domelementtype "^2.3.0"
 
-dompurify@^3.0.6, dompurify@^3.2.4:
+dompurify@^3.0.6:
   version "3.2.6"
   resolved "https://registry.npmjs.org/dompurify/-/dompurify-3.2.6.tgz"
   integrity sha512-/2GogDQlohXPZe6D6NOgQvXLPSYBqIWMnZ8zzOhn09REE4eyAzb+Hed3jhoM9OkuaJ8P6ZGTTVWQKAi8ieIzfQ==
   optionalDependencies:
     "@types/trusted-types" "^2.0.7"
 
+dompurify@^3.2.5:
+  version "3.3.0"
+  resolved "https://registry.yarnpkg.com/dompurify/-/dompurify-3.3.0.tgz#aaaadbb83d87e1c2fbb066452416359e5b62ec97"
+  integrity sha512-r+f6MYR1gGN1eJv0TVQbhA7if/U7P87cdPl3HN5rikqaBSBxLiCb/b9O+2eG0cxz0ghyU+mU1QkbsOwERMYlWQ==
+  optionalDependencies:
+    "@types/trusted-types" "^2.0.7"
+
 domutils@^2.5.2, domutils@^2.8.0:
   version "2.8.0"
   resolved "https://registry.npmjs.org/domutils/-/domutils-2.8.0.tgz"
@@ -5233,10 +5247,10 @@ express@^4.17.3:
     utils-merge "1.0.1"
     vary "~1.1.2"
 
-exsolve@^1.0.1:
-  version "1.0.6"
-  resolved "https://registry.npmjs.org/exsolve/-/exsolve-1.0.6.tgz"
-  integrity sha512-Q05uIdxhPBVBwK29gcPsl2K220xSBy52TZQPdeYWE0zOs8jM+yJ6y5h7jm6cpAo1p+OOMZRIj/Ftku4EQQBLnQ==
+exsolve@^1.0.7:
+  version "1.0.7"
+  resolved "https://registry.yarnpkg.com/exsolve/-/exsolve-1.0.7.tgz#3b74e4c7ca5c5f9a19c3626ca857309fa99f9e9e"
+  integrity sha512-VO5fQUzZtI6C+vx4w/4BWJpg3s/5l+6pRQEHzFRM8WFi4XffSP1Z+4qi7GbjWbvRQEbdIco5mIMq+zX4rPuLrw==
 
 extend-shallow@^2.0.1:
   version "2.0.1"
@@ -5533,9 +5547,9 @@ globals@^11.1.0:
   resolved "https://registry.npmjs.org/globals/-/globals-11.12.0.tgz"
   integrity sha512-WOBp/EEGUiIsJSp7wcv/y6MO+lV9UoncWqxuFfm8eBwzWNgyfBd6Gz+IeKQ9jCmyhoH99g15M3T+QaVHFjizVA==
 
-globals@^15.14.0:
+globals@^15.15.0:
   version "15.15.0"
-  resolved "https://registry.npmjs.org/globals/-/globals-15.15.0.tgz"
+  resolved "https://registry.yarnpkg.com/globals/-/globals-15.15.0.tgz#7c4761299d41c32b075715a4ce1ede7897ff72a8"
   integrity sha512-7ACyT3wmyp3I61S4fG682L0VA2RGD9otkqGJIwNUMF1SWUombIIk+af1unuDYgMm082aHYwD+mzJvv9Iu8dsgg==
 
 globby@^11.1.0:
@@ -6405,10 +6419,10 @@ jsonfile@^6.0.1:
   optionalDependencies:
     graceful-fs "^4.1.6"
 
-katex@^0.16.9:
-  version "0.16.22"
-  resolved "https://registry.npmjs.org/katex/-/katex-0.16.22.tgz"
-  integrity sha512-XCHRdUw4lf3SKBaJe4EvgqIuWwkPSo9XoeO8GjQW94Bp7TWv9hNhzZjZ+OH9yf1UmLygb7DIT5GSFQiyt16zYg==
+katex@^0.16.22:
+  version "0.16.25"
+  resolved "https://registry.yarnpkg.com/katex/-/katex-0.16.25.tgz#61699984277e3bdb3e89e0e446b83cd0a57d87db"
+  integrity sha512-woHRUZ/iF23GBP1dkDQMh1QBad9dmr8/PAwNA54VrSOVYgI12MAcE14TqnDdQOdzyEonGzMepYnqBMYdsoAr8Q==
   dependencies:
     commander "^8.3.0"
 
@@ -6511,14 +6525,14 @@ loader-utils@^2.0.0:
     emojis-list "^3.0.0"
     json5 "^2.1.2"
 
-local-pkg@^1.0.0:
-  version "1.1.1"
-  resolved "https://registry.npmjs.org/local-pkg/-/local-pkg-1.1.1.tgz"
-  integrity sha512-WunYko2W1NcdfAFpuLUoucsgULmgDBRkdxHxWQ7mK0cQqwPiy8E1enjuRBrhLtZkB5iScJ1XIPdhVEFK8aOLSg==
+local-pkg@^1.1.1:
+  version "1.1.2"
+  resolved "https://registry.yarnpkg.com/local-pkg/-/local-pkg-1.1.2.tgz#c03d208787126445303f8161619dc701afa4abb5"
+  integrity sha512-arhlxbFRmoQHl33a0Zkle/YWlmNwoyt6QNZEIJcqNbdrsix5Lvc4HyyI3EnwxTYlZYc32EbYrQ8SzEZ7dqgg9A==
   dependencies:
     mlly "^1.7.4"
-    pkg-types "^2.0.1"
-    quansync "^0.2.8"
+    pkg-types "^2.3.0"
+    quansync "^0.2.11"
 
 localforage@^1.10.0:
   version "1.10.0"
@@ -6627,10 +6641,10 @@ markdown-table@^3.0.0:
   resolved "https://registry.npmjs.org/markdown-table/-/markdown-table-3.0.4.tgz"
   integrity sha512-wiYz4+JrLyb/DqW2hkFJxP7Vd7JuTDm77fvbM8VfEQdmSMqcImWeeRbHwZjBjIFki/VaMK2BhFi7oUUZeM5bqw==
 
-marked@^15.0.7:
-  version "15.0.12"
-  resolved "https://registry.npmjs.org/marked/-/marked-15.0.12.tgz"
-  integrity sha512-8dD6FusOQSrpv9Z1rdNMdlSgQOIP880DHqnohobOmYLElGEqAL/JvxvuxZO16r4HtjTlfPRDC1hbvxC9dPN2nA==
+marked@^16.2.1:
+  version "16.4.1"
+  resolved "https://registry.yarnpkg.com/marked/-/marked-16.4.1.tgz#db37c878cfa28fa57b8dd471fe92a83282911052"
+  integrity sha512-ntROs7RaN3EvWfy3EZi14H4YxmT6A5YvywfhO+0pm+cH/dnSQRmdAmoFIc3B9aiwTehyk7pESH4ofyBY+V5hZg==
 
 marked@^4.3.0:
   version "4.3.0"
@@ -6910,26 +6924,26 @@ merge2@^1.3.0, merge2@^1.4.1:
   integrity sha512-8q7VEgMJW4J8tcfVPy8g09NcQwZdbwFEqhe/WZkoIzjn/3TGDwtOCYtXGxA3O8tPzpczCCDgv+P2P5y00ZJOOg==
 
 mermaid@>=11.6.0:
-  version "11.6.0"
-  resolved "https://registry.npmjs.org/mermaid/-/mermaid-11.6.0.tgz"
-  integrity sha512-PE8hGUy1LDlWIHWBP05SFdqUHGmRcCcK4IzpOKPE35eOw+G9zZgcnMpyunJVUEOgb//KBORPjysKndw8bFLuRg==
+  version "11.12.1"
+  resolved "https://registry.yarnpkg.com/mermaid/-/mermaid-11.12.1.tgz#97445451ce7d0d3740bc2159cb25464bece60b67"
+  integrity sha512-UlIZrRariB11TY1RtTgUWp65tphtBv4CSq7vyS2ZZ2TgoMjs2nloq+wFqxiwcxlhHUvs7DPGgMjs2aeQxz5h9g==
   dependencies:
-    "@braintree/sanitize-url" "^7.0.4"
-    "@iconify/utils" "^2.1.33"
-    "@mermaid-js/parser" "^0.4.0"
+    "@braintree/sanitize-url" "^7.1.1"
+    "@iconify/utils" "^3.0.1"
+    "@mermaid-js/parser" "^0.6.3"
     "@types/d3" "^7.4.3"
     cytoscape "^3.29.3"
     cytoscape-cose-bilkent "^4.1.0"
     cytoscape-fcose "^2.2.0"
     d3 "^7.9.0"
     d3-sankey "^0.12.3"
-    dagre-d3-es "7.0.11"
-    dayjs "^1.11.13"
-    dompurify "^3.2.4"
-    katex "^0.16.9"
+    dagre-d3-es "7.0.13"
+    dayjs "^1.11.18"
+    dompurify "^3.2.5"
+    katex "^0.16.22"
     khroma "^2.1.0"
     lodash-es "^4.17.21"
-    marked "^15.0.7"
+    marked "^16.2.1"
     roughjs "^4.6.6"
     stylis "^4.3.6"
     ts-dedent "^2.2.0"
@@ -7985,13 +7999,13 @@ pkg-types@^1.3.0:
     mlly "^1.7.4"
     pathe "^2.0.1"
 
-pkg-types@^2.0.1:
-  version "2.1.0"
-  resolved "https://registry.npmjs.org/pkg-types/-/pkg-types-2.1.0.tgz"
-  integrity sha512-wmJwA+8ihJixSoHKxZJRBQG1oY8Yr9pGLzRmSsNms0iNWyHHAlZCa7mmKiFR10YPZuz/2k169JiS/inOjBCZ2A==
+pkg-types@^2.3.0:
+  version "2.3.0"
+  resolved "https://registry.yarnpkg.com/pkg-types/-/pkg-types-2.3.0.tgz#037f2c19bd5402966ff6810e32706558cb5b5726"
+  integrity sha512-SIqCzDRg0s9npO5XQ3tNZioRY1uK06lA41ynBC1YmFTmnY6FjUjVt6s4LoADmwoig1qqD0oK8h1p/8mlMx8Oig==
   dependencies:
-    confbox "^0.2.1"
-    exsolve "^1.0.1"
+    confbox "^0.2.2"
+    exsolve "^1.0.7"
     pathe "^2.0.3"
 
 player.style@^0.1.9:
@@ -8687,10 +8701,10 @@ qs@6.13.0:
   dependencies:
     side-channel "^1.0.6"
 
-quansync@^0.2.8:
-  version "0.2.10"
-  resolved "https://registry.npmjs.org/quansync/-/quansync-0.2.10.tgz"
-  integrity sha512-t41VRkMYbkHyCYmOvx/6URnN80H7k4X0lLdBMGsz+maAwrJQYB1djpV6vHrQIBE0WBSGqhtEHrK9U3DWWH8v7A==
+quansync@^0.2.11:
+  version "0.2.11"
+  resolved "https://registry.yarnpkg.com/quansync/-/quansync-0.2.11.tgz#f9c3adda2e1272e4f8cf3f1457b04cbdb4ee692a"
+  integrity sha512-AifT7QEbW9Nri4tAwR5M/uzpBuqfZf+zwaEM/QkzEjj7NBuFD2rBuy0K3dE+8wltbezDV7JMA0WfnCPYRSYbXA==
 
 queue-microtask@^1.2.2:
   version "1.2.3"