refactor: consolidate output hygiene into output.rs #1199

Job	Run time
Detect Changes	9s
Test (ubuntu-latest)	33s
Test (macos-latest)	45s
Lint	25s
Nix	16m 16s
Verify Skills	25s
Build (Linux x86_64)	2m 9s
API Smoketest	11s
Build (windows-latest, x86_64-pc-windows-msvc)	4m 57s
Build (macos-latest, aarch64-apple-darwin)	2m 11s
Build (ubuntu-latest, aarch64-unknown-linux-gnu)	2m 28s
Build (macos-latest, x86_64-apple-darwin)	2m 46s
	33m 15s

Provide feedback