>>509110081A coup is when you forcefully take control over the central government. Putin's geographic location means very little for this.
Prigo would need to either force the entire Kremlin government to pledge allegiance to him (which would never happen), or execute all members of the Russian government and replace them with Prigo's own friends (whom he doesn't have and never had)
So no matter how much you look at it, your fantasy of a successful coup sounds like an anime fanfiction, with no real practical tools that could be applied to be successful.
1. Prigo didn't want to do a coup, because he was against committing treason vs. Russia, and he even vocally and loudly himself said that he has nothing against Putin, he just has beef with the generals in the ministry of defence
2. Prigo didn't have any connections neither in Kremlin nor military that would give him enough people in positions of power to implement a coup.
So long-story short, you very likely never studied politics, and this is why western propaganda works so well on you.