Implement improved auto-reconnect logic and fix TypeScript errors

## Features
- Add proactive health check monitoring for MCP connections (30s intervals)
- Implement automatic reconnection on health check failures
- Add proper cleanup of health check intervals on disconnect

## Fixes
- Resolve OAuth type compatibility issues with MCP SDK
- Fix naming collision between InferenceProvider class and React component
- Remove unused React imports across all components (new JSX transform)
- Clean up unused type imports and variables
- Remove unused handleOAuthAuthentication function

## Technical Details
- Health checks use lightweight listTools() calls to verify connection state
- Automatic reconnection triggers when health checks fail
- Maintains existing exponential backoff retry logic
- All TypeScript compilation errors resolved

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

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

src/components/ChatInterface.tsx

@@ -1,6 +1,6 @@
 // Main chat interface with message display and input
 
-import React, { useState, useRef, useEffect } from 'react';
+import { useState, useRef, useEffect } from 'react';
 import { useConversation } from '@/contexts/ConversationContext';
 import { useInference } from '@/contexts/InferenceContext';
 import { MessageList } from './MessageList';
@@ -16,7 +16,7 @@ export function ChatInterface() {
     getAgentLoopState,
   } = useConversation();
   
-  const { provider: currentProvider, isAuthenticated } = useInference();
+  const { provider: currentProvider } = useInference();
   const [isLoading, setIsLoading] = useState(false);
   const messagesEndRef = useRef<HTMLDivElement>(null);