feat(chat): Add SSE format conversion method to StreamStart response model

- Implemented `to_sse` method in `StreamStart` class to convert response data into SSE format, excluding non-protocol fields.
- Removed redundant inputId declaration in ChatInput component for cleaner code.

autogpt_platform/backend/backend/api/features/chat/response_model.py

@@ -57,6 +57,16 @@ class StreamStart(StreamBaseResponse):
         description="Task ID for SSE reconnection. Clients can reconnect using GET /tasks/{taskId}/stream",
     )
 
+    def to_sse(self) -> str:
+        """Convert to SSE format, excluding non-protocol fields like taskId."""
+        import json
+
+        data: dict[str, Any] = {
+            "type": self.type.value,
+            "messageId": self.messageId,
+        }
+        return f"data: {json.dumps(data)}\n\n"
+
 
 class StreamFinish(StreamBaseResponse):
     """End of message/stream."""

autogpt_platform/frontend/src/components/contextual/Chat/components/ChatInput/ChatInput.tsx

@@ -29,7 +29,6 @@ export function ChatInput({
   className,
   inputId = "chat-input",
 }: Props) {
-  const inputId = "chat-input";
   const {
     value,
     setValue,