Talking as if NATO has no military. They can run operations within their own country.These things are never simple. No modern-day coup has ever been simple.
Now Progozhin is being moved to Belarus. So the enemy of the Russian state but the friend of Russians everywhere is now being moved closer to the Baltics? That's not odd?
Wagner numbers are estimated to be anywhere between 15000 and 25000, and presumably 5000 of the most fanatical Wagnerites participated in the "march". Even the initial numbers are not enough to take Moscow, never mind just 5000. So, as per reports, whatever number participated in the coup, that's 5000 + whatever troops are in Rostov are expected to be "banished" to Belarus, with the rest subsumed into the RAF. That's effectively half the size of the Belarus ground forces. And these guys somehow managed to get sufficiently advanced highly mobile air defences too.
So if Prigozhin acts in the Baltics, can NATO blame Putin?