Using a ResponseFormat of "json_object" causes errors local OpenAI-like models using LM Studio

[therealjohn]

Version

main

Describe the bug

I need to use "json_schema" here per the documentation: https://lmstudio.ai/docs/advanced/structured-output

I do not know why they made it different than OpenAI hosted models.

To Reproduce
Use the WeatherBot sample with a local model hosted with LM Studio.

this._agent =
                new()
                {
                    Instructions = AgentInstructions,
                    Name = AgentName,
                    Kernel = this._kernel,
                    Arguments = new KernelArguments(new OpenAIPromptExecutionSettings() 
                    { 
                        FunctionChoiceBehavior = FunctionChoiceBehavior.Auto(), 
                        ResponseFormat = "json_object" // Wrong format for this, but its what the property suggests 
                    }),
                };

Define some JSON schema in LM Studio:

Use local endpoints:
AIServices:LocalModel:ModelName = qwen2.5-7b-instruct
AIServices:LocalModel:Endpoint = http://127.0.0.1:1234/v1/

builder.Services.AddOpenAIChatCompletion(
        modelId: builder.Configuration.GetSection("AIServices:LocalModel").GetValue<string>("ModelName"),
        endpoint: new Uri(builder.Configuration.GetSection("AIServices:LocalModel").GetValue<string>("Endpoint")));

Additional context
Maybe this is more a feature request to consider local model usage for OpenAI-like models that aren't OpenAI hosted models.