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Fairy-Max knows the concept of royal pieces, the capture of which means the
end of the game. You can have more of those, but in that case loss of the
first means loss of the game, so they still would not be allowed to venture
into check. From what you say, I gather your game is different. Which would
mean you cannot play it with Fairy-Max by just changing the piece
definitions in the fmax.ini file.

That of course does not mean that Fairy-Max could not be adapted to handle
the novel winning condition at the level of the C code. I have for instance
made a derivative to play Shatranj, which implements the baring rule as
winning condition, and this required just three extra code lines. To judge how
easy or difficult this would be, requires exact knowledge of the winning
condition.