Fix "failed to parse tools" due to mcp EXIT_LOOP_TOOLS not following the ChatCompletionInputFunctionDefinition model (#3219)

* Fix EXIT_LOOP_TOOLS mcp tools not following the ChatCompletionInputFunctionDefinition model

* Add property trigger to preserve compatibility with OpenAI schema

Author: nicoloddo

src/huggingface_hub/inference/_mcp/constants.py

@@ -54,6 +54,15 @@
         "function": {
             "name": "task_complete",
             "description": "Call this tool when the task given by the user is complete",
+            "parameters": {
+                "type": "object",
+                "properties": {
+                    "trigger": {
+                        "type": "boolean",
+                        "description": "Set to true to trigger this function",
+                    }
+                },
+            },
         },
     }
 )
@@ -64,6 +73,15 @@
         "function": {
             "name": "ask_question",
             "description": "Ask the user for more info required to solve or clarify their problem.",
+            "parameters": {
+                "type": "object",
+                "properties": {
+                    "trigger": {
+                        "type": "boolean",
+                        "description": "Set to true to trigger this function",
+                    }
+                },
+            },
         },
     }
 )