Rust

Add a function to inherit the recording auth settings when switching to recording mode #4357

Job	Run time
check-git-rev-deps	8s
cargo-deny (advisories)	42s
cackle	1m 15s
cargo-deny (bans licenses sources)	41s
build-and-test (msrv, 22, ubuntu-latest, wasm32-unknown-unknown, false)	5m 6s
fmt	9s
publish-dry-run	0s
build-and-test (msrv, 22, ubuntu-latest-16-cores, x86_64-unknown-linux-gnu, true)	3m 56s
semver-checks	1s
build-and-test (latest, 22, ubuntu-latest, wasm32-unknown-unknown, false)	5m 5s
build-and-test (latest, 22, ubuntu-latest-16-cores, x86_64-unknown-linux-gnu, true)	5m 20s
complete	1s
	22m 24s

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