Add Fal MCP Server (#2668)

* Add Fal MCP Server to official directory

Fal MCP Server enables AI image, video, and music generation directly in Claude using Fal.ai models including FLUX, Stable Diffusion, and MusicGen.

- Published on PyPI: https://pypi.org/project/fal-mcp-server/
- Docker image available on GitHub Container Registry
- Comprehensive documentation: https://raveenb.github.io/fal-mcp-server/
- Native async API for optimal performance

* Move Fal MCP Server to Community servers section

This is not an official Fal.ai server but rather a third-party
implementation created for personal use.

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

---------

Co-authored-by: Adam Jones <adamj@anthropic.com>
Co-authored-by: Claude <noreply@anthropic.com>

README.md

@@ -680,6 +680,7 @@ A growing set of community-developed and maintained servers demonstrates various
 - **[Fabric MCP](https://github.com/aci-labs/ms-fabric-mcp)** - Microsoft Fabric MCP server to accelerate working in your Fabric Tenant with the help of your favorite LLM models.
 - **[Fabric Real-Time Intelligence MCP](https://github.com/Microsoft/fabric-rti-mcp)** - Official Microsoft Fabric RTI server to accelerate working with Eventhouse, Azure Data Explorer(Kusto), Eventstreams and other RTI items using your favorite LLM models.
 - **[fabric-mcp-server](https://github.com/adapoet/fabric-mcp-server)** - The fabric-mcp-server is an MCP server that integrates [Fabric](https://github.com/danielmiessler/fabric) patterns with [Cline](https://cline.bot/), exposing them as tools for AI-driven task execution and enhancing Cline's capabilities.
+- **[Fal MCP Server](https://github.com/raveenb/fal-mcp-server)** - Generate AI images, videos, and music using Fal.ai models (FLUX, Stable Diffusion, MusicGen) directly in Claude
 - **[Facebook Ads](https://github.com/gomarble-ai/facebook-ads-mcp-server)** - MCP server acting as an interface to the Facebook Ads, enabling programmatic access to Facebook Ads data and management features.
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 - **[Facebook Ads Library](https://github.com/trypeggy/facebook-ads-library-mcp)** - Get any answer from the Facebook Ads Library, conduct deep research including messaging, creative testing and comparisons in seconds.