It didn't the last time I used it but seeing as they are from the same stable (OpenAI) it is not surprising they have similar UI features.ChaGPT has had that for a long time (maybe forever, I can't say).
The difference as far as I am concerned is ChatGPT is trained to be a chatbot, Copilot is trained to be a coding assistant.
Google "what are the primary differences between chatgpt and copilot" and get Gemini's take on it