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@sutekh137
I can only answer a couple of the questions above categorically, and that is if all the classes remaining that need mastery are in the same bird family, I do, for sure, get guaranteed snoutling offers until I exhaust all mastery needs. This way I only need to focus on grinding 24 classes instead of the full 30. This go around, it is the blues who are left to collect mastery only from events, calendar and dojo offers (plus any event levels that require use of blue). Typically this family falls 2-3 mastery levels behind the rest of the flock.
The problem with trying to solve any of the equations that you alluded to above is that the testing opportunities are very limited. I do know that last go round, I left matilda behind, and when I got to the final level of mastery, I maxed out full families at a time. For each family of birds taken off the board, I saw dojo offers per reset increase slightly to the point where when I had only two families left, I was seeing 9-10 offers. Naturally that did not last very long before I was down to just her and received unlimited offers.