Fix and reorganize API docs #12679

Job	Run time
Setup workflow	5s
Pixi lock	50s
Run pre-commit	30s
type:test-type:ubuntu-latest	2m 27s
ui:test-ui:ubuntu-latest	14m 34s
core:test-core:ubuntu-latest	1m 51s
ui:test-ui:macos-latest	12m 3s
ui:test-ui:windows-latest	26m 46s
unit:test-310:ubuntu-latest	8m 23s
core:test-minimum:ubuntu-latest	1m 54s
unit:test-312:ubuntu-latest	7m 11s
unit:test-310:macos-latest	7m 36s
unit:test-312:macos-latest	8m 16s
unit:test-310:windows-latest	15m 57s
unit:test-312:windows-latest	15m 53s
result:test	1s
	2h 4m 17s

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