mcpmux/mcp-mux ? reverse-engineered prompt

Build me a desktop app that lets me manage all my MCP servers in one place and use them from every AI client through a single local URL.

I want to be able to add servers once, save credentials securely in the system keychain, and then connect apps like Cursor, Claude Desktop, VS Code, and Windsurf through one local gateway. The app should run quietly in the tray, work on Windows, macOS, and Linux, and have a clean dashboard where I can see my servers, tools, prompts, resources, and which clients are connected right now.

Please also include separate workspaces or spaces so I can keep work and personal tools apart, plus a way to choose which tools each client or folder can see. It should support OAuth login and refresh tokens automatically, and let me browse and install servers from a built in registry. If there are current docs or setup details you need, look them up online and make reasonable choices.