[PR #11094/50bb06b backport][3.13] Fix SSL shutdown timeout for streaming connections

[bdraco]

(cherry picked from commit 50bb06b)

[codspeed-hq]

CodSpeed Performance Report

Merging #11096 will not alter performance

_{Comparing patchback/backports/3.13/50bb06be197b249ab91a4cef33ef7e10ffd4d95a/pr-11094 (40c5aa9) with 3.13 (fb26481)}

Summary

✅ 59 untouched benchmarks

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
⚠️ Please upload report for BASE (3.13@fc6cd87). Learn more about missing BASE report.
✅ All tests successful. No failed tests found.

Additional details and impacted files

@@           Coverage Diff           @@
##             3.13   #11096   +/-   ##
=======================================
  Coverage        ?   98.24%           
=======================================
  Files           ?      130           
  Lines           ?    41765           
  Branches        ?     2293           
=======================================
  Hits            ?    41034           
  Misses          ?      557           
  Partials        ?      174           

Flag	Coverage Δ
CI-GHA	98.13% <98.01%> (?)
OS-Linux	97.87% <98.01%> (?)
OS-Windows	95.47% <96.03%> (?)
OS-macOS	97.08% <98.01%> (?)
Py-3.10.11	96.84% <46.53%> (?)
Py-3.10.17	97.36% <46.53%> (?)
Py-3.11.12	97.53% <86.13%> (?)
Py-3.11.9	97.02% <86.13%> (?)
Py-3.12.10	97.89% <86.13%> (?)
Py-3.13.3	97.88% <86.13%> (?)
Py-3.9.13	96.74% <47.47%> (?)
Py-3.9.22	97.25% <47.47%> (?)
Py-pypy7.3.16	85.74% <47.47%> (?)
VM-macos	97.08% <98.01%> (?)
VM-ubuntu	97.87% <98.01%> (?)
VM-windows	95.47% <96.03%> (?)

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