Adobe Creative Suite, legacy software

Catalina was the version of MacOS that no longer supported 32-bit applications such as Adobe Creative Suite. From Catalina and forward thru Monterey only 64-bit apps are supported.

I hung on to my 2013 MacBook Pro and High Sierra as long as I could because I also preferred Adobe Illustrator CS 6. I finally had to move forward when just a few months ago I had to work with a bunch of InDesign Creative Cloud files, and it wasn't possible or practical to save them back down and work on them in my preferred CS version of InDesign.

In fact when WFH happened at the beginning of 2020 my work sent me a then-new 2019 MacBook Pro 16 but it had Catalina and I couldn't use my preferred CS6 applications, so I put it under then bed for the next two years til I finally had to give up CS6. It's been OK so far.

I searched on the Adobe forums and the consensus there is no, they won't install or run. Time to update to newer versions.

FWIW, Adobe CS6 will not run in Catalina and later. There are multiple threads here explaining that if you care to look. Also, the Adobe forums contain people's personal experiences.