Make limits cache private for serialization #464

Job	Run time
initial_checks / Load tox environments	10s
initial_checks / codestyle (ubuntu-latest)	18s
no_coverage / Load tox environments	4s
tests / Load tox environments	7s
no_coverage / py39-notebooks (windows-latest)	3m 11s
no_coverage / py38-notebooks (macos-12)	2m 26s
no_coverage / py310-notebooks (ubuntu-latest)	1m 24s
no_coverage / py311-docs (ubuntu-latest)	1m 14s
no_coverage / py39-docs (macos-12)	3m 27s
no_coverage / py38-docs (windows-latest)	4m 58s
tests / py38-test (ubuntu-latest)	1m 49s
tests / py39-test (ubuntu-latest)	2m 23s
tests / py310-test (ubuntu-latest)	1m 54s
tests / py311-test (ubuntu-latest)	2m 2s
tests / py38-test (macos-12)	2m 28s
tests / py39-test (macos-12)	3m 17s
tests / py311-test (macos-latest)	1m 40s
tests / py38-test (windows-latest)	5m 2s
tests / py39-test (windows-latest)	3m 15s
tests / py310-test (windows-latest)	3m 17s
publish / Build source and wheel distribution	3m 56s
	48m 22s

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