You will have to install the 2024 software on the new computer.
Sign onto your download account - https://accounts.intuit.com/app/account-manager/productsBilling/turbotax
See this TurboTax support FAQ for how to move your tax data files from the old computer to the new computer - https://ttlc.intuit.com/turbotax-support/en-us/help-article/data-systems/move-tax-data-file-another-...
