Enable logging in `rustls` and `tracing`-using dependencies #2602

Job	Run time
Rustfmt and clippy	28s
Test (x86_64-unknown-linux-gnu, ubuntu-latest, --features=native-tls)	1m 5s
Test (x86_64-unknown-linux-gnu, ubuntu-latest, --no-default-features --features=native-tls,online...	1m 12s
Test (x86_64-apple-darwin, macos-13, --features=native-tls)	3m 5s
Test (aarch64-apple-darwin, macos-14, --features=native-tls)	1m 48s
Test (x86_64-pc-windows-msvc, windows-latest, --features=native-tls)	2m 15s
Test (x86_64-unknown-linux-musl, ubuntu-latest, true)	1m 46s
Test (aarch64-unknown-linux-musl, ubuntu-latest, true, -- --test-threads=4)	2m 28s
Test (arm-unknown-linux-gnueabihf, ubuntu-latest, true, -- --test-threads=4)	2m 37s
	16m 44s

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