So, you're not abjectly wrong. But there are disclaimers and contingencies to most of your statements like and
US sells guns to everyone involved either directly or indirectly and
they're doing their best to fend off the protestors Historically these truths have all been time-sensitive, e.g. Russia supports a version of Armenia that is stable enough to continue being profitable, but is in no way a military priority that might aid in the defense of a Turkic invasion. Georgia, Armenia and Azerbaijan are all former Soviet bloc, but at least two of them have been invaded by Russian forces or proxy post-independence at least once.
In this specific microcosm of Fuckery-in-the-Caucasus, this wiki sums it up pretty well.