The operation was initiated by the Brits who wanted to preserve their influence on Iranian oil sector. Mossadegh was considered to be leaning toward socialism and the Americans didn't want his influence to become stronger.
The operation was well organized and realized. Almost a textbook for a covert operations of this type.
They painted Mossadeeg as a Communist because the Brits wanted to continue paying 6 cents on the dollar in oil revenues.
They painted Mosadegh as a puppet socialist who would have relied on the Communists to form a government and would have been their butt boi, especially when they hit the streets with their stockpiles of arms and and' prurged all da evul imperialsts' from the country, using the usual mass murders commies so love. You of course are a big fan of that stuff, hence your silly lies and nonsense posts.
I was in Iran in 1953.