Watching Putin's actions over the last 12 years should have made it clear that your theory was incorrect.
Putin couldn't care less about creating an economic union with Western Europe and the USA. He is just trying to maximize his power in Russia, and extend its area of control.
In a nutshell, here’s all what’s needed to know about Russia’a true intentions concerning Iran / Hamas / Hezbollah... :
Putin ‘forming axis of terror’ as he welcomes Hamas and Iran to Moscow
https://www.telegraph.co.uk/world-news/2023/10/26/putin-forming-axis-of-terror-welcomes-hamas-iran-moscow/