[AG-UI] [.NET] Is ChatHistoryProviderFactory Supported?

[ecc-parity-check]

Hi,

I have a workflow that uses 2 agents built on top of Responses API.
I'm using this workflow converted to agent with .AsAgent() with AG-UI.
On the server side I've configured each of the agents to not store the responses

RawRepresentationFactory = (_) => new CreateResponseOptions() { StoredOutputEnabled = false }

On the client side I'm trying to use ChatHistoryProviderFactory

var options = new ChatClientAgentOptions
{
    Id = "lagui-client",
    Name = "agui-client",
    Description = "AG-UI Client Agent",
    ChatHistoryProviderFactory = (ctx, ct) => new ValueTask<ChatHistoryProvider>(new CosmosChatHistoryProvider(cosmosDbOptions.ConnectionString, cosmosDbOptions.DbName, cosmosDbOptions.ConversationsContainerName))
};

var agent = agUiChatClient.AsAIAgent(options);
await foreach (var update in agent.RunStreamingAsync(messages))
{
    //
}

The workflow runs, but at the end I get an error:
Only the ConversationId or MessageStore may be set, but not both and switching from one to another is not supported.

Is ChatHistoryProviderFactory supported or maybe it should be used in some other way?