The full tax return is in the .tax2023 file. Copy that file from the desktop to the laptop. When you start TurboTax on the laptop, it will not automatically find the copied file. On the first screen in TurboTax you have to click "Find a Tax File" and navigate to the copied .tax2023 file to open it.
Note that after you copy the file from the desktop to the laptop you have two separate and independent copies of the tax return. Any changes you make on one computer will not be copied to the other computer unless you copy the updated file from one computer to the other.
