[PR #10171/5185f93 backport][3.12] Stream unpauses protocol before releasing connection

[bdraco]

(cherry picked from commit 5185f93)

[codspeed-hq]

CodSpeed Performance Report

Merging #10180 will not alter performance

_{Comparing patchback/backports/3.12/5185f932407947fbbabd31c5dc6d72abc5c54171/pr-10171 (2dbde4c) with 3.12 (d7e4e61)}

Summary

✅ 47 untouched benchmarks

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 98.06%. Comparing base (d7e4e61) to head (2dbde4c).
Report is 1 commits behind head on 3.12.

❌ We are unable to process any of the uploaded JUnit XML files. Please ensure your files are in the right format.

Additional details and impacted files

@@           Coverage Diff           @@
##             3.12   #10180   +/-   ##
=======================================
  Coverage   98.06%   98.06%           
=======================================
  Files         123      123           
  Lines       37208    37228   +20     
  Branches     4476     4477    +1     
=======================================
+ Hits        36489    36509   +20     
  Misses        542      542           
  Partials      177      177           

Flag	Coverage Δ
CI-GHA	97.95% <100.00%> (+<0.01%)	⬆️
OS-Linux	97.66% <100.00%> (+<0.01%)	⬆️
OS-Windows	94.59% <100.00%> (+<0.01%)	⬆️
OS-macOS	96.78% <100.00%> (-0.01%)	⬇️
Py-3.10.11	96.63% <100.00%> (-0.01%)	⬇️
Py-3.10.15	97.17% <100.00%> (-0.04%)	⬇️
Py-3.11.11	97.23% <100.00%> (-0.01%)	⬇️
Py-3.11.9	96.70% <100.00%> (-0.01%)	⬇️
Py-3.12.8	97.72% <100.00%> (+<0.01%)	⬆️
Py-3.13.1	97.71% <100.00%> (+<0.01%)	⬆️
Py-3.9.13	96.56% <100.00%> (-0.01%)	⬇️
Py-3.9.20	97.13% <100.00%> (+0.03%)	⬆️
Py-pypy7.3.16	96.70% <100.00%> (-0.01%)	⬇️
VM-macos	96.78% <100.00%> (-0.01%)	⬇️
VM-ubuntu	97.66% <100.00%> (+<0.01%)	⬆️
VM-windows	94.59% <100.00%> (+<0.01%)	⬆️

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