Moving Final Cut Pro to New Mac

Hello. I am in the process of trying to move Final Cut Pro X software from my MacBook Air 13" 2017 with MacOS High Sierra to a MacBook Pro 2019 with MacOS Sonoma 14.2.1. I moved the Final Cut Pro by copy and pasting from my external hard drive. The current version of FCPX is not compatible with my new computer's operating system. I followed the steps to update the FCPX in the Apple Store. It seemed as though it was going to work but then a message popped up saying that it was unable to install at this time. I'm not going to have to re-purchase the software on my new computer am I? I think the problem resides in the fact that the operating systems are different. I even tried to update the operating system to MacOS Sonoma on my older Mac but was unable to do so

Any thoughts on this will be much appreciated