chore: add some more logging to handlers #3415

Job	Run time
build (ubuntu-latest)	2m 1s
check (ubuntu-latest)	2m 0s
clippy	43s
build (macos-14)	1m 13s
check (macos-14)	24s
build (windows-latest)	3m 24s
check (windows-latest)	2m 4s
cross-compile (x86_64-unknown-illumos)	1m 22s
format	12s
integration-test	2m 35s
unit-test (ubuntu-latest)	2m 34s
unit-test (macos-14)	1m 47s
unit-test (windows-latest)	5m 41s
	26m 0s

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