Add relay_lock to cache-handling, formatting #1954

Job	Run time
Dependency	3s
Prepare	49s
Shellcheck	4s
Ruff check and force	6s
Check commit	43s
Create pytest cache for Python 3.13	9s
Run pytest using Python 3.13	12s
Run mypy	0s
Build and publish Python 🐍 distributions 📦 to TestPyPI	0s
Process test coverage	0s
Process test complexity	0s
	2m 6s

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