Build, lint and test package

Bump `actions/cache` version #384

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Run time

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Job	Run time
lint (3.10)	24s
lint (3.11)	17s
lint (3.12)	17s
type_check (3.10)	2m 56s
build_and_test (3.10)	4m 46s
build_and_test (3.11)	4m 1s
type_check (3.11)	2m 49s
build_and_test (3.12)	4m 2s
type_check (3.12)	3m 28s
	23m 0s