[PR #10907/b25eca01 backport][3.12] Fix flakey test_uvloop_secure_https_proxy test

[patchback]

This is a backport of PR #10907 as merged into master (b25eca0).

This is another attempt to fix this flakey test. Sadly it only fails in the CI, and only sometimes

[codspeed-hq]

CodSpeed Performance Report

Merging #10909 will not alter performance

_{Comparing patchback/backports/3.12/b25eca0144e618a91b78c3b0f348503db2510657/pr-10907 (e1ab394) with 3.12 (64fc600)}

Summary

✅ 60 untouched benchmarks

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 98.16%. Comparing base (64fc600) to head (e1ab394).
Report is 2 commits behind head on 3.12.

✅ All tests successful. No failed tests found.

Additional details and impacted files

@@           Coverage Diff           @@
##             3.12   #10909   +/-   ##
=======================================
  Coverage   98.16%   98.16%           
=======================================
  Files         130      130           
  Lines       39282    39283    +1     
  Branches     2223     2223           
=======================================
+ Hits        38561    38562    +1     
  Misses        551      551           
  Partials      170      170           

Flag	Coverage Δ
CI-GHA	98.05% <100.00%> (+<0.01%)	⬆️
OS-Linux	97.78% <100.00%> (+<0.01%)	⬆️
OS-Windows	95.25% <0.00%> (+<0.01%)	⬆️
OS-macOS	96.95% <100.00%> (+<0.01%)	⬆️
Py-3.10.11	96.83% <100.00%> (+<0.01%)	⬆️
Py-3.10.17	97.38% <100.00%> (+<0.01%)	⬆️
Py-3.11.12	97.48% <100.00%> (+<0.01%)	⬆️
Py-3.11.9	96.93% <100.00%> (+<0.01%)	⬆️
Py-3.12.10	97.84% <100.00%> (+<0.01%)	⬆️
Py-3.13.3	97.83% <100.00%> (+<0.01%)	⬆️
Py-3.9.13	96.72% <100.00%> (+<0.01%)	⬆️
Py-3.9.22	97.26% <100.00%> (+<0.01%)	⬆️
Py-pypy7.3.16	83.42% <0.00%> (-3.88%)	⬇️
VM-macos	96.95% <100.00%> (+<0.01%)	⬆️
VM-ubuntu	97.78% <100.00%> (+<0.01%)	⬆️
VM-windows	95.25% <0.00%> (+<0.01%)	⬆️

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