Add experimental 3.12 tests (#7400)

[Dreamsorcerer]

(cherry picked from commit 972c002)

[codecov]

Codecov Report

Merging #7401 (0804e9b) into 3.9 (a00fffd) will decrease coverage by 0.01%.
The diff coverage is 100.00%.

@@            Coverage Diff             @@
##              3.9    #7401      +/-   ##
==========================================
- Coverage   97.28%   97.27%   -0.01%     
==========================================
  Files         107      107              
  Lines       31622    31617       -5     
  Branches     4016     4013       -3     
==========================================
- Hits        30762    30757       -5     
  Misses        653      653              
  Partials      207      207              

Flag	Coverage Δ
CI-GHA	97.22% <100.00%> (-0.01%)	⬇️
OS-Linux	96.90% <100.00%> (-0.01%)	⬇️
OS-Windows	94.53% <100.00%> (-0.01%)	⬇️
OS-macOS	96.59% <100.00%> (+<0.01%)	⬆️
Py-3.10.11	94.44% <100.00%> (-0.01%)	⬇️
Py-3.10.12	96.78% <100.00%> (-0.01%)	⬇️
Py-3.11.0	?
Py-3.11.4	96.52% <100.00%> (?)
Py-3.8.10	94.41% <100.00%> (-0.01%)	⬇️
Py-3.8.17	96.72% <100.00%> (-0.01%)	⬇️
Py-3.9.13	94.42% <100.00%> (-0.01%)	⬇️
Py-3.9.17	96.76% <100.00%> (+<0.01%)	⬆️
Py-pypy7.3.11	94.13% <100.00%> (-0.01%)	⬇️
VM-macos	96.59% <100.00%> (+<0.01%)	⬆️
VM-ubuntu	96.90% <100.00%> (-0.01%)	⬇️
VM-windows	94.53% <100.00%> (-0.01%)	⬇️

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Files Changed	Coverage Δ
tests/test_client_request.py	99.60% <ø> (-0.01%)	⬇️
tests/test_streams.py	100.00% <ø> (ø)
tests/test_web_app.py	98.67% <100.00%> (-0.01%)	⬇️

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