Catholic Tartarstan?

Inspired by an EUIII game in which Austria has expanded to Mongolia and has converted the majority of the Eurasian steppe and Central Asia. The essential part of this challenge is that the Russian states are not involved in this religious/cultural change. Some other state or nation must propagate it, and Russia must remain divided and limited to their ancestral home.
 
Very hard to do, unless you get a surviving Latin Empire. Even there, it's extremely difficult for the Tatars to accept Catholicism. (not to mention there will be problems between the Pope and various Khans)
 
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