GenAI Refactor (#23253)

* Ensure runtime options are passed

* Add attribute info to prompt when configured

* Move GenAI plugins to dedicated directory

* Migrate prompts to dedicated folder

* Move chat prompts to prompts

* Implement reasoning traces in the UI

* Cleanup

* Make azure a subclass of openai

* Implement reasoning for other providers

* mypy

* Cleanup

frigate/api/defs/response/chat_response.py

@@ -20,6 +20,10 @@ class ChatMessageResponse(BaseModel):
     content: Optional[str] = Field(
         default=None, description="Message content (None if tool calls present)"
     )
+    reasoning: Optional[str] = Field(
+        default=None,
+        description="Separated reasoning/thinking trace if the model emitted one",
+    )
     tool_calls: Optional[list[ToolCallInvocation]] = Field(
         default=None, description="Tool calls if LLM wants to call tools"
     )