chore: remove OpenAI responses API tracing notebook and merge its content with existing OpenAI tracing example

Author: viniciusdsmello

examples/tracing/openai/openai_responses_api_tracing.ipynb

@@ -39,9 +39,10 @@
    "outputs": [],
    "source": [
     "import os\n",
-    "\n",
     "import openai\n",
     "\n",
+    "from pydantic import BaseModel\n",
+    "\n",
     "# OpenAI env variables\n",
     "os.environ[\"OPENAI_API_KEY\"] = \"YOUR_OPENAI_API_KEY_HERE\"\n",
     "\n",
@@ -86,6 +87,14 @@
     "That's it! Now you can continue using the traced OpenAI client normally. The data is automatically published to Openlayer and you can start creating tests around it!"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "fb5ebdad",
+   "metadata": {},
+   "source": [
+    "### 3.1 Chat Completions API"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
@@ -104,12 +113,54 @@
    "id": "abaf6987-c257-4f0d-96e7-3739b24c7206",
    "metadata": {},
    "outputs": [],
-   "source": []
+   "source": [
+    "class Person(BaseModel):\n",
+    "    name: str\n",
+    "    age: int\n",
+    "    occupation: str\n",
+    "\n",
+    "# Parse method automatically returns structured Pydantic object\n",
+    "completion = openai_client.chat.completions.parse(\n",
+    "    model=\"gpt-4o\",\n",
+    "    messages=[\n",
+    "        {\"role\": \"user\", \"content\": \"Extract: John Doe is 30 years old and works as a software engineer\"}\n",
+    "    ],\n",
+    "    response_format=Person,\n",
+    ")\n",
+    "\n",
+    "completion.choices[0].message.parsed"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4e6fb396",
+   "metadata": {},
+   "source": [
+    "### 3.2 Responses API"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "21369c42",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Responses API - new unified interface with enhanced metadata\n",
+    "response = openai_client.responses.create(\n",
+    "    model=\"gpt-4o-mini\",\n",
+    "    input=\"What is 3 + 3?\",\n",
+    "    max_output_tokens=50\n",
+    ")\n",
+    "\n",
+    "# Response is automatically traced\n",
+    "response"
+   ]
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
+   "display_name": "base",
    "language": "python",
    "name": "python3"
   },
@@ -123,7 +174,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.18"
+   "version": "3.12.7"
   }
  },
  "nbformat": 4,