Imnew2apple23 wrote:
The only Mac besides that Intel Mac mini I have is my M1 Mac mini that is running Golden Gate.
In that case, I don't think you're going to be making a bootable installer. Apple's instructions for creating one say that "In most cases, you must download from a Mac that is compatible with the macOS you're downloading."
Finding a used, original retail Mac OS X optical disk won't help you, either. Snow Leopard was the last version of Mac OS X that Apple distributed in that fashion, and that Mac mini cannot run anything earlier than Lion.
If memory serves correctly, Apple did distribute a few copies of Lion and Mountain Lion on USB flash drives, but the preloaded flash drives cost $80 and electronic downloads from the App Store cost $20. So the official USB flash drives probably would not have sold very well, and probably would be as scarce as hen's teeth now - even assuming that any of them still worked after all of this time.