Technically that is only adding to the prompt, which then becomes (your prompt + original response + your prompt 2), etc.
You could still capture it by recording only your prompts, the points in the conversation they were submitted at, and the starting parameters for the model. A replay would then produce the same results if your input was added at the same place in the conversation.
Granted I don't think the current tools do a great job of handling that.
Technically that is only adding to the prompt, which then becomes (your prompt + original response + your prompt 2), etc.
You could still capture it by recording only your prompts, the points in the conversation they were submitted at, and the starting parameters for the model. A replay would then produce the same results if your input was added at the same place in the conversation.
Granted I don't think the current tools do a great job of handling that.