chore(layers): check the examples when running tests #1699

Job	Run time
build_all_features	5m 6s
build_all_platforms (ubuntu-latest)	2m 47s
build_all_platforms (macos-latest)	2m 3s
build_all_platforms (windows-latest)	4m 55s
build_default_features (ubuntu-latest)	44s
build_under_wasm	49s
build_default_features (macos-latest)	40s
check_clippy	3m 36s
build_default_features (windows-latest)	1m 39s
check_docs	3m 12s
check_msrv	31s
unit	6m 32s
	32m 34s

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