fix playground for v1 (#799)

# What does this PR do?

- update playground callsites for v1 api changes

## Test Plan

```
cd llama_stack/distribution/ui
streamlit run app.py
```


https://github.com/user-attachments/assets/eace11c6-600a-42dc-b4e7-6948a706509f




## Sources

Please link relevant resources if necessary.


## Before submitting

- [ ] This PR fixes a typo or improves the docs (you can dismiss the
other checks if that's the case).
- [ ] Ran pre-commit to handle lint / formatting issues.
- [ ] Read the [contributor
guideline](https://github.com/meta-llama/llama-stack/blob/main/CONTRIBUTING.md),
      Pull Request section?
- [ ] Updated relevant documentation.
- [ ] Wrote necessary unit or integration tests.

llama_stack/distribution/ui/page/distribution/providers.py

@@ -10,11 +10,17 @@ from modules.api import llama_stack_api
 
 def providers():
     st.header("🔍 API Providers")
-    apis_providers_info = llama_stack_api.client.providers.list()
-    # selected_api = st.selectbox("Select an API", list(apis_providers_info.keys()))
-    for api in apis_providers_info.keys():
+    apis_providers_lst = llama_stack_api.client.providers.list()
+    api_to_providers = {}
+    for api_provider in apis_providers_lst:
+        if api_provider.api in api_to_providers:
+            api_to_providers[api_provider.api].append(api_provider)
+        else:
+            api_to_providers[api_provider.api] = [api_provider]
+
+    for api in api_to_providers.keys():
         st.markdown(f"###### {api}")
-        st.dataframe([p.to_dict() for p in apis_providers_info[api]], width=500)
+        st.dataframe([x.to_dict() for x in api_to_providers[api]], width=500)
 
 
 providers()