Nope. You said the whole thing about Russia not being proxy because they don't tell the Iran government what to do.
That is incompatible with the definition of what a proxy war is.
You can share a thousand books on peoples opinions on the subject, they have books like that on communism too doesn't change any definition or meaning of any definition, at all.
"I can't believe you don't even know what proxy is"
And by your own books you linked. If USA is fighting proxy that makes when Russia supplied Iran with weapons an act of also being a party to a proxy war. You don't get to just have one side be a proxy war and the other side supplying their enemies not a proxy war. Or at least, I don't because I'm capable of understanding what things mean and able to read definitions and understand them. If you want to listen to the opinion of people who talk about it, then do that the very book you linked agrees that if USA is fighting proxy with Ukraine, then Russia is too with Iran. One side doesn't get to just act like it isn't part of the proxy war, even by the very books you yourself linked.
So are the books you linked valid or not? Is the definition valid or not? Guess it depends on what opinion you want to present at the time? If USA is fighting proxy that just makes Russia an ally to Iran? Not according to the books you linked.
See this is the problem. You don't actually read any of it, you don't actually care about what the definition really is because you just want to say that Russia is doing great and whatever they are doing is just and acceptable across the board. The USA is the only one capable of proxy wars, right?
So which is it, are the books right or wrong?
Still better than AI lol