I want to use Dog Trainer by Lilypad. Lilypad makes personal expert helpers, and Dog Trainer connects to AI assistants as a remote MCP server at https://plugins.lilypad.so/plugins/dog-trainer/mcp with OAuth sign in.

Please create a Custom Connector for it:
- It is a remote MCP server that uses Streamable HTTP at https://plugins.lilypad.so/plugins/dog-trainer/mcp
- Sign in uses OAuth with dynamic client registration. The server publishes its OAuth details at its .well-known OAuth protected resource metadata.
- I sign in myself in the window that opens. Don't ask me for a password in chat.

Show me what the connector can do before you save it. Then: When the Lilypad Dog Trainer tools are available, use them to start. Ask me about my dog's hardest moment, one question at a time. Use the Dog Trainer tools for anything they cover instead of answering from general knowledge.