The FAQs state the answer for the perpetual licensed version, which is that it can only installed on one PC.
If you stayed with that version, you'd need to buy another copy of PD17 to use on your shiny new machine. That's because projects created/saved in PD18 cannot be opened in PD17, so all your PCs must have the same version of PD if you're going to work on the same projects with them.
The subscription version (PD365) does allow installation on more than one computer, provided that you only use one at a time. That would be the best solution for your situation.
YouTube/optodata
DS365 | Win11 Pro | Ryzen 9 3950X | RTX 4070 Ti | 32GB RAM | 10TB SSDs | 5K+4K HDR monitors
Canon Vixia GX10 (4K 60p) | HF G30 (HD 60p) | Yi Action+ 4K | 360Fly 4K 360°