test: Implement integration tests #1122

Job	Run time
Build and test (stable, --features default)	58s
Clippy (--no-default-features)	41s
Build and test (stable, --no-default-features)	52s
Rust fmt	19s
Build and test (stable, --all-features)	2m 18s
Clippy (--all-features)	1m 5s
	6m 13s

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