[PR #8641/0a88bab backport][3.10] Fix WebSocket ping tasks being prematurely garbage collected

[bdraco]

(cherry picked from commit 0a88bab)

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.61%. Comparing base (68e8496) to head (ba50518).

Additional details and impacted files

@@            Coverage Diff             @@
##             3.10    #8646      +/-   ##
==========================================
- Coverage   97.66%   97.61%   -0.06%     
==========================================
  Files         108      108              
  Lines       33852    33905      +53     
  Branches     4027     4034       +7     
==========================================
+ Hits        33063    33097      +34     
- Misses        588      605      +17     
- Partials      201      203       +2     

Flag	Coverage Δ
CI-GHA	97.52% <94.73%> (-0.06%)	⬇️
OS-Linux	97.20% <94.73%> (-0.06%)	⬇️
OS-Windows	94.77% <100.00%> (+0.01%)	⬆️
OS-macOS	96.92% <94.73%> (+<0.01%)	⬆️
Py-3.10.11	97.02% <89.47%> (-0.01%)	⬇️
Py-3.10.14	96.97% <89.47%> (-0.01%)	⬇️
Py-3.11.9	97.21% <89.47%> (-0.01%)	⬇️
Py-3.12.4	97.31% <80.70%> (-0.03%)	⬇️
Py-3.8.10	94.51% <100.00%> (+0.01%)	⬆️
Py-3.8.18	96.87% <89.47%> (-0.01%)	⬇️
Py-3.9.13	97.02% <89.47%> (-0.01%)	⬇️
Py-3.9.19	96.98% <89.47%> (-0.01%)	⬇️
Py-pypy7.3.16	?
VM-macos	96.92% <94.73%> (+<0.01%)	⬆️
VM-ubuntu	97.20% <94.73%> (-0.06%)	⬇️
VM-windows	94.77% <100.00%> (+0.01%)	⬆️

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