I'm going against the grain here.
I contend that the OP's 2018 Mini SHOULD be able to run Mojave, even if it shipped in 2020 with Big Sur on it.
To enable this, the OP will have to:
1. Get a copy of Mojave (easy)**
2. Get a USB flash drive 16gb. Format it to "Mac OS extended, journaling enabled, GUID partition format".
3. Create a bootable USB flashdrive (I recommend using either "DiskMaker X" or "Install Disk Creator" for this job)
4. Boot from the flashdrive
5. COMPLETELY ERASE the Mini's internal SSD
open disk utility and you MUST go to the "view" menu and choose "show all devices".
Then, the "top line on the left" is the physical drive -- THIS is what you need to erase.
6. Install Mojave
7. Restore from a backup (although I'm unsure whether setup assistant will migrate from a backup created with Big Sur, or not).
The 2018 Mini's originally shipped with Mojave, and even subsequent firmware updates should not prevent one from booting or running Mojave.
If that were true, then I couldn't still be using Mojave with MY 2018 Mini, since I've installed Ventura on an external drive, and can boot and run the Mini with that, too.
The firmware updates (to Ventura) did NOTHING to prevent booting/running from Mojave.
** If you're having trouble getting Mojave, go here:
Download the Mojave patcher utility.
(we're not going to patch anything, we just need this to get Mojave)
Launch the utility. Dismiss the alert if it pops up.
Go to the "tools" menu and choose "Download Mac Os Mojave"
Once it's downloaded, that's it, you can quit the utility.
Now you have the Mojave installer.