chore(web-check): add local Appearance verification gate #5305

Job	Run time
Build Impact	18s
Shell Deploy Scripts	28s
Frontend Build	6m 55s
Rust Build Check (ubuntu-latest)	16m 4s
DSH Profile Packaging (windows-latest)	45s
CLI Tests (ubuntu-latest)	8m 50s
CLI Tests (macos-15)	8m 42s
CLI Tests (windows-latest)	12m 5s
Rust Build Check (windows-latest)	30m 15s
Rust Build Check (macos-15)	22m 25s
Impact-selected Linux / Relay Contract	-1s
Rust / CLI Validation	8s
	1h 46m 54s

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