Congratulations on a fine first effort, Matteo! The triple move idea is
untried, so far as I know, and will need play testing to see if it makes
the game too explosive. If that is the case, this game should still keep
most of its flavor as a double move variant. (Hope triple move works out, I
really like that.) In any case, a balance rule to reduce the first move
advantage is in order. For a double move game, the rule is well
known--White may make only one move on the first turn. I propose a triple
move analog to that rule:
On the first turn, White makes one move.
On the first turn, Black makes one or two moves.
On the second turn, White makes one or two moves.
On subsequent turns, the player on move makes one, two, or three moves.