I am not sure that rules like this would qualify as being part of the move. Betza notation is supposed to describe the pseudo-legal moves of a piece, and that some of those might be forbidden in a real position because of the constellation of pieces outside the path, is what makes the difference between legal and pseudo-legal moves. Moves of pieces in a variant that has a checking rule are not written differently than in a variant that hasn't.
A rule for not being allowed to move out of attack can be implemented in the AI relatively easily: you test for in the reply move whether you can capture to the evacuated square. This is how the ban on castling out of (or through) check is implemented to. The AI is not aware it is in check, but on castling it marks the King's origin and passed-through squares as 'royal' e.p. squares, and considers any capture-capable move to it in the next half-move as an (immediately winning) King capture.
Moves that are only allowed when you are attacked are much harder to implement. They are a form of enemy induction. (Which the I.D. also doesnt't implement for that reason.)
I am not sure that rules like this would qualify as being part of the move. Betza notation is supposed to describe the pseudo-legal moves of a piece, and that some of those might be forbidden in a real position because of the constellation of pieces outside the path, is what makes the difference between legal and pseudo-legal moves. Moves of pieces in a variant that has a checking rule are not written differently than in a variant that hasn't.
A rule for not being allowed to move out of attack can be implemented in the AI relatively easily: you test for in the reply move whether you can capture to the evacuated square. This is how the ban on castling out of (or through) check is implemented to. The AI is not aware it is in check, but on castling it marks the King's origin and passed-through squares as 'royal' e.p. squares, and considers any capture-capable move to it in the next half-move as an (immediately winning) King capture.
Moves that are only allowed when you are attacked are much harder to implement. They are a form of enemy induction. (Which the I.D. also doesnt't implement for that reason.)