[codex-analytics] refactor analytics to use reducer architecture (#16225)

- rework codex analytics crate to use reducer / publish architecture
- in anticipation of extensive codex analytics

Author: rhan-oai

codex-rs/Cargo.lock

@@ -13,6 +13,7 @@ path = "src/lib.rs"
 workspace = true
 
 [dependencies]
+codex-app-server-protocol = { workspace = true }
 codex-git-utils = { workspace = true }
 codex-login = { workspace = true }
 codex-plugin = { workspace = true }