Implement ClientSession-related suggestion #5318

Job	Run time
Prepare	55s
Dependency	4s
Shellcheck	3s
Ruff check and force	17s
Check commit	33s
Create pytest cache for Python 3.13.0	13s
Create pytest cache for Python 3.12	9s
Run pytest using Python 3.13.0	27s
Run pytest using Python 3.12	11s
Process test coverage	16s
Run mypy	20s
Process test complexity	13s
Build and publish Python 🐍 distributions 📦 to TestPyPI	29s
	4m 10s

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