test(housekeeping): prove 137 route parity

package.json

@@ -23,6 +23,7 @@
 		"db:migrate:status": "tsx scripts/apply-migrations.ts --status",
 		"db:studio": "drizzle-kit studio",
 		"hk:matrix:check": "tsx scripts/verify-housekeeping-matrix.ts",
+		"hk:parity:test": "vitest run --coverage.enabled=false src/features/housekeeping/cutover/parity.test.ts",
 		"test:housekeeping": "vitest run --coverage.enabled=false src/features/housekeeping src/lib/admin-theme-source-audit.test.ts src/lib/admin/authorization-contract.test.ts"
 	},
 	"lint-staged": {