Add relay_lock to cache-handling, formatting #1956

Job	Run time
Shellcheck	6s
Prepare	45s
Dependency	3s
Ruff check and force	9s
Check commit	47s
Create pytest cache for Python 3.13	5s
Run pytest using Python 3.13	19s
Process test coverage	0s
Run mypy	0s
Process test complexity	0s
Build and publish Python 🐍 distributions 📦 to TestPyPI	0s
	2m 14s

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