You many not need the 2024 license activation code, if you're just wanting to transfer your *.tax2024 data file from the old computer to the new computer so you can transfer the data into a new 2025 return. In that case you don't have to open the *.tax2024 data file in the 2024 program on the old computer. You can copy the *.tax2024 data file from the old computer to a thumb drive, and then deposit it in the new computer. If you have a Windows PC, it's best to place it in the Documents\TurboTax folder, which is the default location for TurboTax data files.
Or are you wanting to make a 2024 PDF on the old computer and then also transfer the 2024 PDF to your new computer? If so, and if you haven't already previously made a PDF, that would indeed require you to run the 2024 program to make the PDF file. I've addressed that in a comment that follows this one.
If you password-protected or encrypted the 2024 data file on the old computer, there could be additional issue.
