I went from i5 7500 to i5 8600K to 9700K to 9900K to 12600K to 14700K. So whenever the fancy takes me.

14700K all day long.

15th gen at least gives you an upgrade path rather than buying into a dead platform. That’s if you can wait until next year.

No.

I updated my BIOS and installed the driver - what next?

With a 3070Ti you are likely to be GPU bottlenecked rather than CPU. So you are probably not going to much, if any, of a performance increase with the 14600K.