Another thing to add is, if you have trouble erasing/reinstalling Catalina from the bootable installer, (Unless M1 MAC, doesn’t sound like it).......
If you startup your Mac holding Shift Option Command R, erase the main disk, then go to Reinstall the OS, this would reinstall the OS that came stock with your Mac, so that’s also an option, (as long as you’ve had Sierra or later at some point I believe).
At that point, once the original OS is installed, just download Catalina and install it here:
How to get older versions of Mac OS:
https://support.apple.com/en-us/HT211683
Likewise, if you’ve already erased the disk, and restarted, it’ll most likely boot to the original OS recovery mode despite the startup command, same thing, Reinstall the original OS, and upgrade to Catalina afterwards.
Erase an Intel based Mac:
https://support.apple.com/en-us/HT211683
However, I believe bootable installers work great for downgrading, so you should be good just following the first steps said previously, just throwing all the options out there in case you run into any troubles, cheers.