Delete old version od Adobe

you have a problem because you updated to a 64 bit only os while leaving 32 bit apps on your computer.  those 32 bit apps (which include parts of cs6) should have been uninstalled before changing your os.

at this point, i think the best you can do is to try and run the adobe cleaner.  the best way to proceed would be a complete uninstall and cleaning, but you might be able to target cs6 only with the cleaner (which would be easier and quicker).

see if you can clean cs6 only by running https://helpx.adobe.com/creative-cloud/kb/cc-cleaner-tool-installation-problems.html

No. I want to use only new versions what I have - Adobe Photoshop 2023 and etc.

did you use migration assistant to move cs6 to your new computer?