test: Implement integration tests #1113

Job	Run time
Rust fmt	12s
Build and test (stable, --no-default-features)	21s
Clippy (--all-features)	1m 12s
Clippy (--no-default-features)	19s
Build and test (stable, --all-features)	1m 39s
Build and test (stable, --features default)	13s
	3m 56s

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