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/README.md

@@ -0,0 +1,41 @@
+# Zapier integration for Mem0
+
+A [Zapier](https://zapier.com) integration for [Mem0](https://mem0.ai) — the memory layer for AI agents. Add, search, list, and delete long-term memories from any Zap.
+
+Built with the [Zapier Platform CLI](https://docs.zapier.com/platform/quickstart/cli-tutorial).
+
+## Actions
+
+| Type | Name | Endpoint |
+| --- | --- | --- |
+| Create | **Add Memory** | `POST /v3/memories/add/` |
+| Create | **Delete Memory** | `DELETE /v1/memories/{id}/` |
+| Search | **Search Memories** | `POST /v3/memories/search/` |
+| Search | **Get Memories** | `POST /v3/memories/` |
+
+**Add Memory** runs LLM extraction asynchronously and returns immediately with an event ID by default. Turn on **Wait for Completion** to have the action poll until extraction finishes and return the resulting memories — note that extraction can take longer than Zapier allows a single step to run, and a timeout there does **not** mean the add failed (it typically still completes server-side). Set **Infer = false** to store the message verbatim instead of extracting.
+
+**Get Memories** returns one page at a time; use the **Page** and **Limit** fields to page through larger result sets.
+
+## Authentication
+
+Custom (API key) auth. Provide a Mem0 API key from [app.mem0.ai](https://app.mem0.ai) → Settings → API Keys. It is sent as `Authorization: Token <key>`.
+
+## Development
+
+Written in TypeScript; the app compiles to `dist/` (Zapier runs the compiled JS).
+
+```bash
+pnpm install
+pnpm build                      # compile src/ → dist/
+pnpm test:unit                  # offline unit tests (mocked, no network)
+MEM0_API_KEY=m0-... pnpm test   # unit + live E2E against api.mem0.ai
+```
+
+Anonymous usage telemetry is sent to Mem0; opt out with `MEM0_TELEMETRY=false`.
+
+To deploy (maintainers): `pnpm build && zapier push`.
+
+## License
+
+MIT