feat: Improve summary handling and error reporting in repository checks #1870

Job	Run time
Cross checking x86_64-pc-windows-msvc	1m 39s
Cross checking x86_64-apple-darwin	4m 13s
Cross checking aarch64-apple-darwin	3m 29s
Cross checking x86_64-unknown-linux-gnu	31s
Cross checking x86_64-unknown-linux-musl	40s
Cross checking x86_64-pc-windows-msvc	2m 18s
Cross checking x86_64-apple-darwin	3m 26s
Cross checking aarch64-apple-darwin	3m 39s
Cross checking x86_64-unknown-linux-gnu	30s
Cross checking x86_64-unknown-linux-musl	41s
Result (Cross-CI)	1s
	21m 7s

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