this is a classic double stalemate...1. Ng5 !!
It's more of a single illegal move lifting the check on the bK.
There are very simple chess variants which have a triple check(mate). like Patrol chess. The Patrol rule is one can only check or capture with a unit (piece or pawn) that is guarded by another unit of the same color. The diagram below even shows a quadruple checkmate! 1.Ng6####
Both triple check and triple checkmate are legally impossible in chess.
So is both players in check.
So is both players in checkmate.
All impossible.
But I posted recently about the thing I think comes closest to Triple Check.
I call it Discovered Double Disappearance Check.
Say you had a black King at e6 and a white pawn at e5.
White's Queen slides up to g4 and says hello to Black's K.
Qg4ch ...
so then black's f7-pawn slides up to f5 with a double square move and says "bye - your Qcheck is blocked"
But then white's e-pawn goes exf6 en passant ...
black's f5-pawn Disappears from the board - and his King is once more in check by white's Queen -
but white's e-pawn also uncovers and discovers white's Rook at e1 also coming in to join the party .... so Black's King is now in check from there too ...
Three white pieces participate in putting black's King in check.
But its only double check not triple. Close but not quite there.