docs: fix stub pages and improve docs structure #4200

Job	Run time
checks / pre-commit	32s
checks / readme-snippets	12s
checks / test (3.11, highest, windows-latest)	2m 29s
checks / test (3.10, highest, windows-latest)	2m 13s
checks / test (3.12, lowest-direct, ubuntu-latest)	51s
checks / test (3.12, lowest-direct, windows-latest)	3m 15s
checks / test (3.13, lowest-direct, ubuntu-latest)	47s
checks / test (3.13, lowest-direct, windows-latest)	2m 24s
checks / test (3.13, highest, ubuntu-latest)	47s
checks / test (3.12, highest, ubuntu-latest)	50s
checks / test (3.10, lowest-direct, windows-latest)	2m 14s
checks / test (3.13, highest, windows-latest)	2m 40s
checks / test (3.12, highest, windows-latest)	3m 25s
checks / test (3.10, highest, ubuntu-latest)	51s
checks / test (3.11, highest, ubuntu-latest)	45s
checks / test (3.11, lowest-direct, ubuntu-latest)	44s
checks / test (3.11, lowest-direct, windows-latest)	2m 29s
checks / test (3.10, lowest-direct, ubuntu-latest)	45s
all-green	2s
	28m 15s

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