Short answer
Yes, you can switch to a different Project in AskTuring, but doing so starts a new conversation.
Full explanation
While you are on the Project Screen, all of your available Projects are displayed in the Projects view. You can choose a different Project at any time by selecting it directly from this screen.
When you switch to another Project, AskTuring will begin a new chat session based on the documents in that Project. Your previous conversation will remain saved under the original Project, but a new one will start for the selected Project.
This design keeps each chat session focused on a single Project, ensuring that answers are accurate and based only on the documents related to that specific Project.