Each Apple device is linked/associated with an Apple ID of the person who did the setup.
Activation Lock prevents anyone who is not the owner from using this Mac.
To unlock the Mac, you need the Apple ID and password of the previous owner, that were used during set up.
So have to contact the previous owner.
The previous owner has to read -> What to do before you sell, give away, or trade in your Mac
What to do before you sell, give away, or trade in your Mac - Apple Support
Then the previous owner has to remove the Mac mini from his account, see this Apple article:
Check your Apple ID device list to see where you're signed in
Check your Apple ID device list to find where you're signed in - Apple Support
Then you can sign in with your Apple ID.
See also -> Activation Lock for Mac -> Activation Lock for Mac - Apple Support
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Other ways to disable Activation Lock
If your previously owned Mac shows an Activation Lock window that asks for someone else's Apple ID, the previous owner may need to remove Activation Lock for you.
You can also contact Apple support for help, -> Get Support (apple.com)
You have to show proof of ownership of your product, provide all documentation showing your purchase of the device.
If you do not have additional proof of ownership, contact the reseller. They may be able to provide the original purchase document.
Once Apple receive your proof of ownership, Apple will further review your request and provide an update.
See also -> Keep your receipt after you buy an Apple device
Keep your receipt after you buy an Apple device – Apple Support (UK)
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Ask your money back if possible, perhaps you have bought a stolen Mac.
If you can't get in touch with the seller you can't use the Mac, recycle the Mac.