What version of Finale are you on? (And what OS platform?) Petrucci will be part of the installer for any version of Finale. You can download recent versions from your MakeMusic account. 

There are also separate font installers, which you can also find in your MakeMusic account. The latest font installer is on these Support pages, and that contains Petrucci, too (as well as the new fonts for version 27, which you can't use on earlier versions).

Petrucci might come as a TrueType font in these installers, but there's no functional difference between the two. Type 1 fonts are deprecated. Apple describes them as 'legacy', which should be a red flag...

PostScript is no longer supported by Adobe except as a legacy format. This was announced years ago and is official as of January 1, 2023. Read all about it here:

PostScript Type 1 fonts end of support

https://helpx.adobe.com/fonts/kb/postscript-type-1-fonts-end-of-support.html 

PostScript and EPS were removed from Finale with 27. Since Adobe has depreciated PostScript and EPS, it's not coming back.

macOS 12.6.1 Monterey and Finale 27.3 bought with Garritan. Most of my scores have used PS Type 1 fonts. Haven't composed much since 2010 but now need to update all scores to include archival PDF. Most early scores use Petrucci Type 1 as default and specialised music fonts. Latest SMuFL formats are gr8 so will convert where I can. I knew that PS Type 1 were going out of use but didn't realise just how much. Thanks both Ben and Mike

cheers

Most of my scores have used PS Type 1 fonts.…

Yep, you will be doing some font substitution. I went through something similar after upgrading Finale 1998. I remember doing something that made the process easy but no longer recall exactly what. The details have escaped over the last 25 years.

The first version of Finale had required us to buy Sonata, a Type 1 font, from Adobe. I converted all my early files to Petrucci TT when I decided I no longer need a PS laser printer half the size of a refrigerator.  How time flies!

re font substitution ....yep and fairly excited by the new Finale Maestro Unicode font with all the collated symbols...

ah, remember all the PS and Font and PDF wars in the 90s and what a pain it was to get a PDF on the Mac that embedded fonts etc?

Went to an important work of 1991 and Finale 2.6.3....and not a PDF to be found either of the music/parts and also all of the frontispiece/end materials....sheeeh! hehehehe (btw I used Aldus Pagemaker then that became Adobe and up to InDesign CS2....I began covert into Word but you can't beat a page layout app....managed to get InDesign CS6 working with Mac OS X 1.11 El Capitaink in Parallels Desktop virtual machine...Wow and it's fairly fast!)