fix(subagent): complete product provider lifecycle

scripts/run-gates.spec.ts

@@ -189,6 +189,12 @@ describe('Node 24 lane ownership', () => {
     expect(subject.find(item => item.id === 'doc-typecheck')?.env).toEqual({
       DSH_DOC_TYPECHECK_USE_BUILD_OUTPUT: '1',
     })
+    expect(subject.find(item => item.id === 'built-bin-smoke')?.args).toEqual(
+      expect.arrayContaining([
+        'packages/subagent/subagent-codex/tests/loader-composition.e2e.ts',
+        'packages/subagent/subagent-claude-code/tests/loader-composition.e2e.ts',
+      ]),
+    )
     expect(subject.find(item => item.id === 'web-snapshot')).toMatchObject({
       displayCommand: 'DSH_SNAPSHOT=replay pnpm run test:web:built',
       env: { DSH_SNAPSHOT: 'replay' },