One can't expect them to stay passive while Iran-back forces encircle them. As you say this was and has been a problem from Reza Shah time, time and time again, it rears it's vicious and ugly head around the corner, and we've had to repeatedly batter it back down over the decades, and seems like the head is rearing again.
They will continue to boost their military equipment, and probably train with them as well in air and land drills in the future no doubt.
I like how you call him an ambitious idiot, because that is so true. He is ambitious certainly but he may be Idiotic to the point of making a unrepairable mistake vis a vis Iran. Iran cannot stay idle while being repeated poked by this reared head and some reaction must be shown. We can't be stupid and assume they will somehow drop their ambitions just for the sake of it, this ambition requires push back, and we as Iranians are very good at our foreign policy and more importantly, achieving foreign policy goals. This northfront will likely for the foreseeable future be a thorn that we will have to deal with, and although I am sure the government is reluctant to make military action, it shouldn't be ruled out as the cards are on our side there in terms of the escalation ladder. As long as the Aliyev government remains, this pan-turk aspiration remains, which will be pushed with the military support of Israel. The trick is exactly how to deal with it smartly.
If they try to cut the Armenia-Iran border, they need to be dealt with frankly . When it comes to other countries, we show teeth, but when it comes to them, the leadership has sheathed them. I hope they have smart plans that we cannot see yet.
A little thought experiment, if a resounding response is required for a serious anti-Iran action. Kyurdamir Airbase in central Azerbaijan. can be targeted - To completely destroy the base - assuming a 50m lethal radius, some 94 missiles (some with cluster munitions) are required.
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