With Z&E out, Russia’s chances of retaining three spots don’t look very good.
At Euros? With B/K and P/K on top of T/M, I wouldn't think that would be a problem at all. The only real competition for these teams in Europe is J/C and DM/G. Maybe Z/K. Three spots at Euros should be easy.
If you mean at Worlds, Z/E are not out of Worlds yet. But even then, 3 spots would be very doable as long as T/M skate well. If they are 3rd, then all that's needed is for
one of the other two teams to come in the top ten. If they are 4th, then top 9th for
one of the other two teams. Keep in mind that there will be only 2 Chinese teams at Worlds, 1 US team. Even if the 2nd Russian team were to come behind all of Sui/Han, Peng/Jin (or Yu/Zhang), Della Monica/Guarise, James/Cipres, Moore-Towers/Marinaro, Kayne/O'Shea (or other US team), and Tarasova/Morozov, that RUS2 team would be 8th. Then there's Ryom/Kim and Ziegler/Kiefer.
If T/M were to come 4th, then
one of Boikova/Kozlovskii and Pavliuchenko/Khodykin would need to beat
one of R/K and Z/K to retain 3 spots. They could still lose to all of 2 CHN teams, CAN1, USA1, ITA1, FRA1. That is very very doable, and B/K especially are capable of beating some of those other teams. The only reason to be concerned would be if you think T/M will not come in the top 4 (and even if they were 5th/6th, B/K could place high enough to get it done).