feat: Replace homepage with conversation manager using TypeScript SDK

- Remove most homepage content, keeping only settings button
- Add ConversationManager React component with full CRUD functionality
- Implement conversation listing, creation, messaging, and deletion
- Display latest event and current state for each conversation
- Add ConversationManager class to SDK for API operations
- Export new types: ConversationSearchRequest/Response, ConversationManagerOptions
- Update example app to showcase conversation management capabilities

Co-authored-by: openhands <openhands@all-hands.dev>

Author: openhands-agent

example/src/App.tsx

@@ -1,62 +1,19 @@
-import { useState, useEffect } from 'react'
 import './App.css'
 
-// Import the OpenHands SDK
-import { 
-  RemoteConversation, 
-  RemoteWorkspace, 
-  HttpClient, 
-  AgentExecutionStatus,
-  EventSortOrder 
-} from '@openhands/agent-server-typescript-client'
-
 // Import settings components
 import { SettingsModal } from './components/SettingsModal'
+import { ConversationManager } from './components/ConversationManager'
 import { useSettings } from './contexts/SettingsContext'
 
 function App() {
-  const [sdkStatus, setSdkStatus] = useState<string>('Loading...')
-  const [sdkInfo, setSdkInfo] = useState<any>(null)
-  
   // Use settings context
   const { settings, updateSettings, isModalOpen, openModal, closeModal, isFirstVisit } = useSettings()
 
-  useEffect(() => {
-    // Test that the SDK imports work correctly
-    try {
-      // Check that all main classes are available
-      const classes = {
-        RemoteConversation: typeof RemoteConversation,
-        RemoteWorkspace: typeof RemoteWorkspace,
-        HttpClient: typeof HttpClient,
-        AgentExecutionStatus: typeof AgentExecutionStatus,
-        EventSortOrder: typeof EventSortOrder,
-      }
-
-      // Check that enums have expected values
-      const enumValues = {
-        AgentExecutionStatus: Object.keys(AgentExecutionStatus),
-        EventSortOrder: Object.keys(EventSortOrder),
-      }
-
-      setSdkInfo({
-        classes,
-        enumValues,
-        importTime: new Date().toISOString(),
-      })
-
-      setSdkStatus('✅ SDK imported successfully!')
-    } catch (error) {
-      setSdkStatus(`❌ SDK import failed: ${error}`)
-      console.error('SDK import error:', error)
-    }
-  }, [])
-
   return (
     <div className="App">
       <div>
         <div className="app-header">
-          <h1>OpenHands SDK Example</h1>
+          <h1>OpenHands Conversation Manager</h1>
           <button className="settings-button" onClick={openModal}>
             ⚙️ Settings
           </button>
@@ -68,59 +25,7 @@ function App() {
           </div>
         )}
 
-        <div className="card">
-          <h2>SDK Import Status</h2>
-          <p className="status">{sdkStatus}</p>
-          
-          {sdkInfo && (
-            <div className="sdk-info">
-              <h3>Available Classes:</h3>
-              <ul>
-                {Object.entries(sdkInfo.classes).map(([name, type]) => (
-                  <li key={name}>
-                    <strong>{name}</strong>: {type as string}
-                  </li>
-                ))}
-              </ul>
-              
-              <h3>Enum Values:</h3>
-              <div className="enums">
-                <div>
-                  <strong>AgentExecutionStatus:</strong>
-                  <ul>
-                    {sdkInfo.enumValues.AgentExecutionStatus.map((value: string) => (
-                      <li key={value}>{value}</li>
-                    ))}
-                  </ul>
-                </div>
-                <div>
-                  <strong>EventSortOrder:</strong>
-                  <ul>
-                    {sdkInfo.enumValues.EventSortOrder.map((value: string) => (
-                      <li key={value}>{value}</li>
-                    ))}
-                  </ul>
-                </div>
-              </div>
-              
-              <p className="import-time">
-                <small>Imported at: {sdkInfo.importTime}</small>
-              </p>
-            </div>
-          )}
-        </div>
-        
-        <div className="card">
-          <h2>Hello World from React + TypeScript + OpenHands SDK!</h2>
-          <p>
-            This is a basic React application that successfully imports and uses the 
-            OpenHands Agent Server TypeScript Client SDK.
-          </p>
-          <p>
-            The SDK is built locally and linked as a file dependency, demonstrating 
-            that the build process works correctly.
-          </p>
-        </div>
+        <ConversationManager />
 
         <SettingsModal
           isOpen={isModalOpen}