[PR #9348/2628256 backport][3.11] Add new send_frame method to WebSockets

[bdraco]

(cherry picked from commit 2628256)

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.79%. Comparing base (1ca7244) to head (6c8b526).
Report is 1 commits behind head on 3.11.

✅ All tests successful. No failed tests found.

Additional details and impacted files

@@           Coverage Diff           @@
##             3.11    #9350   +/-   ##
=======================================
  Coverage   97.79%   97.79%           
=======================================
  Files         108      108           
  Lines       34987    35021   +34     
  Branches     4173     4175    +2     
=======================================
+ Hits        34216    34250   +34     
  Misses        574      574           
  Partials      197      197           

Flag	Coverage Δ
CI-GHA	97.67% <100.00%> (+<0.01%)	⬆️
OS-Linux	97.35% <100.00%> (+<0.01%)	⬆️
OS-Windows	94.93% <100.00%> (+<0.01%)	⬆️
OS-macOS	97.05% <100.00%> (+<0.01%)	⬆️
Py-3.10.11	96.92% <100.00%> (+<0.01%)	⬆️
Py-3.10.15	96.86% <100.00%> (+<0.01%)	⬆️
Py-3.11.10	96.92% <100.00%> (+<0.01%)	⬆️
Py-3.11.9	96.99% <100.00%> (+<0.01%)	⬆️
Py-3.12.6	97.39% <100.00%> (+<0.01%)	⬆️
Py-3.13.0-rc.2	97.37% <100.00%> (+<0.01%)	⬆️
Py-3.9.13	96.83% <100.00%> (+<0.01%)	⬆️
Py-3.9.20	96.77% <100.00%> (+<0.01%)	⬆️
Py-pypy7.3.16	96.38% <100.00%> (+<0.01%)	⬆️
VM-macos	97.05% <100.00%> (+<0.01%)	⬆️
VM-ubuntu	97.35% <100.00%> (+<0.01%)	⬆️
VM-windows	94.93% <100.00%> (+<0.01%)	⬆️

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