Multiplayer Compatibility

Good evening everybody,

I own a copy of Age of Empires III: Complete Collection that I bought a few years ago through steam. Now a friend of mine also wishes to buy a copy for himself, but I am worried we will have compatibility issues in multiplayer matches, due to differences between our versions (I saw a couple new civilizations were added etc. in Empires III: Definitive Edition). Is my thinking correct, or will there be no such issues?

Thank you very much!