Every moment you choose to believe oneacarp is another moment your time is being completely wasted.
It's already been described multiple times why it can't work by everyone else in this topic. And here's another one from me. I've used Adobe products since Photoshop 3.x. That's actual version 3, well before CS3. So yes, I know what I'm talking about.
CS5 will not, in any way, work on any Mac that runs a Mac OS version newer than Mojave. And it will not run on any Apple Silicon based Mac - ever. Period.
An Intel based Mac is a requirement. There is no way around that. CS5 didn't work all that well under Mojave. I had the entire CS6 Master Collection working in Mojave on an Intel based 2018 mini, but even that wasn't easy to get everything functioning.
Any Mac OS after Mojave will only run 64 bit software. CS5, CS5.5 and CS6 had 64 bit apps, but also had a lot of 32 bit dependencies they installed, which is why they won't run on anything later than Mojave. The installers themselves are 32 bit, so they are impossible to use in Catalina or later.
And no, you cannot use a VM to work around this. I've tried it, multiple times. VMware, Parallels and VirtualBox will only allow you to install Apple Silicon native versions of macOS. And since you cannot install Mojave, or any other older Intel based version of macOS in any of these VMs on an Apple Silicon Mac, you can't run CS5, 5.5 or 6, either.
The last test I did was with the free UTM VM software. It can emulate Intel CPUs. I managed to get Windows XP running on my M4 Pro mini in UTM so I could run what is otherwise irreplaceable color management software. It's a bit pokey, but it works.
I also tried installing Snow Leopard Server in UTM just to see if I could run the Mac version of that color management software. But, UTM has no way of emulating a Mac BIOS, or Mac hardware in general. So, even though it can emulate an Intel CPU, it cannot install or run Snow Leopard, or any other Intel based version of Mac OS.
Truly, give up any thought of running CS5 on an Apple Silicon based Mac. It cannot be done.