Yes, the file you need to roll over your business return will be the one ending in .tax2022.
If you install that file on your new computer, you will be able to roll over your 2022 tax information into your 2023 tax return.
If you also want to be able to open your 2022 .tax2022 file in TurboTax, you will need to install your 2022 software too. Follow this link for instructions.
If you have a PDF of your 2022 tax return, you can bring that to your new computer and open it without installing the 2022 TurboTax Business program.