Print local testnet logs as `println` and errors as `eprintln` #68041

Job	Run time
file_change_determinator	10s
rust-consensus-only-smoke-test	0s
rust-consensus-only-unit-test	0s
rust-doc-tests	0s
rust-unit-tests	0s
rust-check-merge-base	1m 43s
general-lints	32s
rust-build-cached-packages	0s
rust-cargo-deny	1m 44s
rust-cryptohasher-domain-separation-check	0s
rust-lints	3m 24s
rust-targeted-unit-tests	7m 49s
rust-smoke-tests	0s
	15m 22s

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