I paid extra for copper THHN for my house and garage. I also used one size larger wire.
If a job is worth doing, it's worth doing right! Especially for yourself!
When I was a child, 50-60 years ago, the word "cheap" meant "inferior quality"! Now people are attracted to "cheapness"! Lol!
If your garage is connected to your house, it's a "branch circuit", for your information, not a Service Entrance. You had better make sure that you are using an acceptable cable. You DID talk to the building department of your city, right? And got an electrical permit? A homeowner's permit?
You don't mention the route that the cable will go between the buildings. Overhead? Underground?? What's the WHOLE story?
We use Noalox (anti-oxidation compound) on approved termination hardware and lugs here for aluminum SE cables.