Migrate GenreBadge/StageBadge/StagePin off hook-mocking

[chiptus]

Parent

#64

What to build

Convert the three existing component tests that mock a query hook directly — GenreBadge, StageBadge, StagePin — onto the integration-test harness from #280. These aren't actually presentational (they call their query hook internally), so under the "no mocks" policy they belong in the integration tier. The container/presentational split that would eventually let render-only tests drop the Supabase dependency again is tracked separately in #277 and is out of scope here.

• Each of the three tests is reclassified as *.integration.test.ts and runs through the harness core from Integration-test tier scaffold + harness core, proven by useGenresQuery #280 against real Supabase data, instead of vi.mock/vi.spyOn on the hook.
• Read-only fixture data already seeded for E2E (or the harness core's client against existing seed data) is reused where sufficient — these are simple read hooks and shouldn't need the fixture factories from Fixture factories + scratch pool for integration tests #281.

Acceptance criteria

• GenreBadge.test.tsx, StageBadge's test, and StagePin.test.tsx no longer mock useSuspenseQuery or their respective query hooks.
• All three pass running through pnpm test:integration against real local Supabase.
• No behavior coverage is lost relative to the current tests (found/not-found, empty list, sizing/styling variants, etc.).

Blocked by

• Integration-test tier scaffold + harness core, proven by useGenresQuery #280 (integration-test tier scaffold + harness core)