It's interesting that you just defined both a proxy war and described what's going on in Ukraine by using the same words.

I wonder if that means the fighting in Ukraine is a... proxy war?

Unless you mean to say that because the US and NATO are providing so much support to. Ukraine in terms of weapons, training, propaganda, strategic assistance, and even combatants, that they are indeed involved, thus making this not a proxy war but a war between NATO and Russia?