Jupyternaut sidebar 404s when Azure deployment name matches model name (gpt-4o)

## Description

When using the Jupyternaut sidebar with an Azure OpenAI deployment whose deployment name is identical to the base model name (e.g., gpt-4o), the sidebar fails with a 404 Resource not found.
However, the same configuration works correctly with the JupyterAI magic commands (%%ai azure-chat-openai:gpt-4o).

This indicates that the sidebar’s request builder forms the REST URL differently from the kernel-side client.

## Reproduce
1. In Azure AI Studio, create a deployment:
- Model: gpt-4o
- Deployment name: gpt-4o
2. Configure JupyterAI:
```
{
  "model_provider_id": "azure-chat-openai:gpt-4o",
  "fields": {
    "azure-chat-openai:gpt-4o": {
      "azure_endpoint": "https://<resource>.openai.azure.com/",
      "api_version": "2024-02-15-preview"
    }
  },
  "api_keys": {
    "AZURE_OPENAI_API_KEY": "<key>"
  }
}
```
3.  Run in a Notebook:
```
%%ai azure-chat-openai:gpt-4o
drive time from la to sf
```
4.  In the Jupyternaut sidebar, run the same query
❌ Fails: `404 Resource not found`.


1. Go to '...'
2. Click on '...'
3. Scroll down to '...'
4. See error '...'



## Expected behavior

Both the sidebar and the magics should form identical Azure REST calls:
```
POST https://<resource>.openai.azure.com/openai/deployments/gpt-4o/chat/completions?api-version=...
```
## Actual Behavior
- The kernel (magic) path is correct and succeeds.
- The sidebar appears to mis-form the URL or confuse model_id vs deployment_id when the names are identical, resulting in a 404.

## Workaround
When a deployment name different from the model is chosen, the sidebar succeeds
```
{
    "model_provider_id": "azure-chat-openai:gpt-4o-jupyternaut",
    "embeddings_provider_id": null,
    "send_with_shift_enter": false,
    "fields": {
        "azure-chat-openai:gpt-4o": {
            "azure_endpoint": "https://oai-rt-mage-dev.openai.azure.com/openai/v1/",
            "api_version": "2024-11-20",
            "azure_deployment": "gpt-4o-jupyternaut"
        }
    },
    "api_keys": {
        "AZURE_OPENAI_API_KEY":  <key>
    },
    "completions_model_provider_id": null,
    "completions_fields": {},
    "embeddings_fields": {}
}
```
## Context
here is the full error message.  Unfortunately, some of the critical detail was redacted before it hit the logs...
```
Traceback (most recent call last):
  File "/opt/conda/lib/python3.13/site-packages/jupyter_ai/chat_handlers/base.py", line 226, in on_message
    await self.process_message(message)
  File "/opt/conda/lib/python3.13/site-packages/jupyter_ai/chat_handlers/default.py", line 71, in process_message
    await self.stream_reply(inputs, message)
  File "/opt/conda/lib/python3.13/site-packages/jupyter_ai/chat_handlers/base.py", line 564, in stream_reply
    async for chunk in chunk_generator:
    ...<32 lines>...
            break
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 5901, in astream
    async for item in self.bound.astream(
    ...<4 lines>...
        yield item
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 5901, in astream
    async for item in self.bound.astream(
    ...<4 lines>...
        yield item
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 3677, in astream
    async for chunk in self.atransform(input_aiter(), config, **kwargs):
        yield chunk
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 3659, in atransform
    async for chunk in self._atransform_stream_with_config(
    ...<5 lines>...
        yield chunk
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 2478, in _atransform_stream_with_config
    chunk = await coro_with_context(py_anext(iterator), context)
            ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 3626, in _atransform
    async for output in final_pipeline:
        yield output
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 5940, in atransform
    async for item in self.bound.atransform(
    ...<4 lines>...
        yield item
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 5257, in atransform
    async for output in self._atransform_stream_with_config(
    ...<5 lines>...
        yield output
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 2478, in _atransform_stream_with_config
    chunk = await coro_with_context(py_anext(iterator), context)
            ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 5237, in _atransform
    async for chunk in output.astream(
    ...<7 lines>...
        yield chunk
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 5901, in astream
    async for item in self.bound.astream(
    ...<4 lines>...
        yield item
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 3677, in astream
    async for chunk in self.atransform(input_aiter(), config, **kwargs):
        yield chunk
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 3659, in atransform
    async for chunk in self._atransform_stream_with_config(
    ...<5 lines>...
        yield chunk
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 2478, in _atransform_stream_with_config
    chunk = await coro_with_context(py_anext(iterator), context)
            ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 3626, in _atransform
    async for output in final_pipeline:
        yield output
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/output_parsers/transform.py", line 95, in atransform
    async for chunk in self._atransform_stream_with_config(
    ...<2 lines>...
        yield chunk
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 2438, in _atransform_stream_with_config
    final_input: Optional[Input] = await py_anext(input_for_tracing, None)
                                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/utils/aiter.py", line 78, in anext_impl
    return await __anext__(iterator)
           ^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/utils/aiter.py", line 133, in tee_peer
    item = await iterator.__anext__()
           ^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/runnables/base.py", line 1634, in atransform
    async for output in self.astream(final, config, **kwargs):
        yield output
  File "/opt/conda/lib/python3.13/site-packages/langchain_core/language_models/chat_models.py", line 615, in astream
    async for chunk in self._astream(
    ...<11 lines>...
        yield chunk.message
  File "/opt/conda/lib/python3.13/site-packages/langchain_openai/chat_models/azure.py", line 823, in _astream
    async for chunk in super()._astream(*args, **kwargs):
        yield chunk
  File "/opt/conda/lib/python3.13/site-packages/langchain_openai/chat_models/base.py", line 1362, in _astream
    response = await self.async_client.create(**payload)
               ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/lib/python3.13/site-packages/openai/resources/chat/completions/completions.py", line 2603, in create
    return await self._post(
           ^^^^^^^^^^^^^^^^^
    ...<48 lines>...
    )
    ^
  File "/opt/conda/lib/python3.13/site-packages/openai/_base_client.py", line 1794, in post
    return await self.request(cast_to, opts, stream=stream, stream_cls=stream_cls)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/opt/conda/lib/python3.13/site-packages/openai/_base_client.py", line 1594, in request
    raise self._make_status_error_from_response(err.response) from None
openai.NotFoundError: Error code: 404 - {'error': {'code': 'DeploymentNotFound', 'message': 'The API deployment for this resource does not exist. If you created the deployment within the last 5 minutes, please wait a moment and try again.'}}
```


- Operating System and version: Google Kubernetes Engine
- Browser and version: Version 141.0.7390.77 (Official Build) (64-bit)
- JupyterLab version: Version 4.4.7



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Jupyternaut sidebar 404s when Azure deployment name matches model name (gpt-4o) #1492

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