[Docs] Update deprecated Pydantic .schema() method to .model_json_schema() in How to convert Runnables to Tools guide (#31618)

docs/docs/how_to/convert_runnable_to_tool.ipynb

@@ -106,11 +106,11 @@
     {
      "data": {
       "text/plain": [
-       "{'title': 'My tool',\n",
+       "{'properties': {'a': {'title': 'A', 'type': 'integer'},\n",
-       " 'type': 'object',\n",
+       "  'b': {'items': {'type': 'integer'}, 'title': 'B', 'type': 'array'}},\n",
-       " 'properties': {'a': {'title': 'A', 'type': 'integer'},\n",
+       " 'required': ['a', 'b'],\n",
-       "  'b': {'title': 'B', 'type': 'array', 'items': {'type': 'integer'}}},\n",
+       " 'title': 'My tool',\n",
-       " 'required': ['a', 'b']}"
+       " 'type': 'object'}"
       ]
      },
      "execution_count": 3,
@@ -121,7 +121,7 @@
    "source": [
     "print(as_tool.description)\n",
     "\n",
-    "as_tool.args_schema.schema()"
+    "as_tool.args_schema.model_json_schema()"
    ]
   },
   {
@@ -449,10 +449,11 @@
     {
      "data": {
       "text/plain": [
-       "{'title': 'RunnableParallel<context,question,answer_style>Input',\n",
+       "{'properties': {'question': {'title': 'Question'},\n",
-       " 'type': 'object',\n",
+       "  'answer_style': {'title': 'Answer Style'}},\n",
-       " 'properties': {'question': {'title': 'Question'},\n",
+       " 'required': ['question', 'answer_style'],\n",
-       "  'answer_style': {'title': 'Answer Style'}}}"
+       " 'title': 'RunnableParallel<context,question,answer_style>Input',\n",
+       " 'type': 'object'}"
       ]
      },
      "execution_count": 14,
@@ -461,12 +462,12 @@
     }
    ],
    "source": [
-    "rag_chain.input_schema.schema()"
+    "rag_chain.input_schema.model_json_schema()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 15,
    "id": "a3f9cf5b-8c71-4b0f-902b-f92e028780c9",
    "metadata": {},
    "outputs": [],