Hi Muzik_D,
Welcome to the Apple (user-to-user) Community!
Re: "Macbook Pro is not recognising iPhone 12 Pro :
When I connect it with Type-C cable it does nothing. No blink or light nor showing in Finder."
The way I understand it, not all cables can carry data, some cables are just for charging.
However using the charging cable for your iPhone would be ok.
Apple support's online article: Connect iPhone and your computer with a cable - Apple Support
says:
"If the cable (for charging your phone) isn’t compatible with the port on your computer,
you’ll need to use an adapter (sold separately)".
Note: If an alert appears on your iPhone asking whether to trust this computer, select Trust.
See the Apple Support article About the ‘Trust This Computer’ alert."
You may need to unlock the phone, then connect to Mac, and "trust" the computer.
Else see:
What to do: If your computer doesn't recognize your iPhone or iPad - Apple Support
or
If you are trying to update or restore your iPhone :
See what to do: If you can't update or restore your iPhone or iPod touch - Apple Support for tips
All the best :-)