Add support for writing partition statistics files #8825

Job	Run time
integration-test-gcs	1m 13s
integration-test-s3	1m 16s
integration-test-adls	1m 32s
integration-test	11m 3s
cibw-dev-env-smoke-test	24s
lint-and-unit-test (3.11)	3m 4s
lint-and-unit-test (3.12)	3m 17s
lint-and-unit-test (3.14)	2m 40s
lint-and-unit-test (3.10)	3m 25s
lint-and-unit-test (3.13)	3m 13s
integration-coverage-report	32s
	31m 39s

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