Fix missing secret message issue

Author: ptelang

src/codegate/providers/copilot/provider.py

@@ -754,12 +754,12 @@ def connection_made(self, transport: asyncio.Transport) -> None:
         logger.debug(f"Connection established to target: {transport.get_extra_info('peername')}")
         self.proxy.target_transport = transport
 
-    def _ensure_output_processor(self) -> None:
+    def _ensure_output_processor(self, reinitialize=False) -> None:
         if self.proxy.context_tracking is None:
             # No context tracking, no need to process pipeline
             return
 
-        if self.sse_processor is not None:
+        if (self.sse_processor is not None) and (not reinitialize):
             # Already initialized, no need to reinitialize
             return
 
@@ -862,6 +862,8 @@ def finish_data(self):
         self.finish_stream = False
         self.headers_sent = False
 
+        self._ensure_output_processor(reinitialize=True)
+
     def _process_chunk(self, chunk: bytes):
         # For debugging only
         # print("===========START DATA RECVD====================")