feat(coding-agent): added resolver-based auth retries to image and search tools

- Routed image-gen, inspect-image, and web search providers through `withAuth`.
- Used `reuseInitialApiKey`/`createAuthStorageResolver` for force-refresh and rotate retries.
- Attached HTTP status to thrown errors so the retry classifier detects retryable failures.

packages/coding-agent/test/title-generator.test.ts

@@ -29,6 +29,9 @@ function createRegistry(model: Model<Api>) {
 	return {
 		getAvailable: () => [model],
 		getApiKey: async () => "test-key",
+		getApiKeyForProvider: async () => "test-key",
+		authStorage: { rotateSessionCredential: async () => false },
+		resolver: () => async () => "test-key",
 	} as never;
 }