In the US, the retail price of PrintMusic was $99 and the last version for Mac (2014/2014.4) was 32 bit. It cannot run over Catalina. There is absolutely no workaround.
You have two choices: a) Upgrade to the full version of Finale at the link I posted earlier (or your favorite reseller).
b) Roll back your MacOS to a version that supports PrintMusic. I recommend MacOS 10.11 El Capitán. One way is to set up an external drive to boot into an older OS for apps that cannot run over Catalina. USB external SSDs aren’t very expensive—about the same cost as upgrading to Finale 27.
Although I run Monterey on my iMac Pro, there’s one 32 bit app I still use that requires Mojave or earlier. An external Mojave boot drive works fine for me.
There is no version of PrintMusic that will run on a Mac beginning OS 10.14 Mojave, released nearly five years ago. MakeMusic decided not to make it for you or anyone else. Your current version will run on an older MacOS only. There is no workaround.
As computers and operating systems get newer, software upgrades are a fact of life. The current MacOS 12 Monterey works with the full version of Finale. As I have written before, you can upgrade through your MakeMusic/FinaleMusic User account or through your favorite reseller.
We are a User to User support forum with volunteers who do not work for MakeMusic. If you wish to yell at Finale, please use the Submit a request link at the top of the page.