I'm trying to clearly establish the goalposts, this has been my stance the entire time. I may have been unclear, because discussing the specific failure points of a scheme to usurp the city is a lot of fun but it's a separate argument, arranging a coup through a rival lord is still taking the city with an army in my view.
An army is used to maintain control of the gate: The Azurite army. In this scenario you're dealing with them as a threat by subverting them to your will, but still involves bringing the army under your control through your proxies in the nobility.