Forbid pathlike DataTree coordinate names #19847

Job	Run time
Event File	3s
cache-pixi-lock / Pixi lock	9s
detect ci trigger	6s
macos-latest \| test-py313	15m 23s
windows-latest \| test-py311	20m 19s
ubuntu-latest \| test-py311-bare-min-and-scipy	2m 37s
ubuntu-latest \| test-py313-with-typing	22m 9s
ubuntu-latest \| test-py311-min-versions	9m 52s
windows-latest \| test-py313	19m 23s
ubuntu-latest \| test-py313-no-dask	11m 32s
ubuntu-latest \| test-py311-with-typing (mypy)	3m 29s
ubuntu-latest \| test-py311	10m 42s
ubuntu-latest \| test-py311-bare-minimum	2m 46s
ubuntu-latest \| test-py313	10m 38s
ubuntu-latest \| test-py313 (flaky)	1m 42s
ubuntu-latest \| test-py313-no-numba	9m 18s
macos-latest \| test-py311	11m 9s
	2h 31m 17s

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