Planning to Patch MacOS Ventura/Sonoma, and had questions about data transfer.

Hello,
I have plans to upgrade my MacBook Pro 9,2 from patched Monterey, to either Ventura or Sonoma. I have a rather large music library that I have put together over the last few years, and i was wondering if I were to use Time Machine to create a backup on a external SSD, I would be able to use that as a way to transfer my data to my "new" MacBook once it has finished updating? Kind of like how a iPhone can set up itself as a clone of the old iPhone through the wireless transfer process at first boot? I just wanted to know in case there is some different clause for MacBooks that are patched to the OS rather than being natively supported.