feat(integrations): add Zapier app for Mem0

A Zapier Platform CLI app (TypeScript) wrapping the hosted Mem0 v3 REST API:
Add / Search / Get Memories / Delete actions with custom API-key auth.

- Written in TypeScript, compiles to dist/; offline unit tests (mocked z.request)
  plus live E2E; `zapier validate` clean
- Add supports custom_instructions, custom_categories, includes, excludes;
  Wait-for-Completion defaults off (extraction can exceed Zapier's 30s step limit)
- Middleware surfaces non-2xx as errors (no silent empty results)
- Anonymous opt-out telemetry (MEM0_TELEMETRY=false)
- Docs page + docs.json/llms.txt entry, ci-gate wiring, AGENTS.md rows

Split out of #6057 per review (separate PRs per integration).

integrations/zapier-mem0/src/middleware.ts

@@ -0,0 +1,50 @@
+import type { ZObject, Bundle, MutableRequest, ZResponse } from './types';
+
+// Prepend the configured base URL and inject the auth header on every request.
+export const includeApiKey = (
+	request: MutableRequest,
+	_z: ZObject,
+	bundle: Bundle,
+): MutableRequest => {
+	if (bundle.authData && bundle.authData.apiKey) {
+		request.headers = request.headers || {};
+		request.headers.Authorization = `Token ${bundle.authData.apiKey}`;
+	}
+	// Resolve relative URLs against the configured base URL.
+	if (request.url && request.url.startsWith('/')) {
+		const base = (bundle.authData && bundle.authData.baseUrl) || 'https://api.mem0.ai';
+		request.url = `${base.replace(/\/$/, '')}${request.url}`;
+	}
+	return request;
+};
+
+// Surface HTTP failures as errors. z.request does NOT throw on non-2xx by
+// default, so without this a 4xx/5xx would flow downstream as a fake success
+// (empty search results / error body returned as a created memory).
+export const handleBadResponses = (
+	response: ZResponse,
+	z: ZObject,
+	_bundle: Bundle,
+): ZResponse => {
+	if (response.status === 401 || response.status === 403) {
+		throw new z.errors.Error(
+			'The Mem0 API key you supplied is invalid or lacks access.',
+			'AuthenticationError',
+			response.status,
+		);
+	}
+	if (response.status >= 400) {
+		const data = (response.data as Record<string, unknown>) || {};
+		const detail = (data.detail ||
+			data.error ||
+			data.message ||
+			response.content ||
+			'unknown error') as string;
+		throw new z.errors.Error(
+			`Mem0 API request failed (HTTP ${response.status}): ${detail}`,
+			'Mem0ApiError',
+			response.status,
+		);
+	}
+	return response;
+};