In a standard 3×3 tie tac toe grid, a player wins when they have 3 of their symbol (either X or O) in a row, column, or upon one of the two diagonals, yielding 8 possible winning paths. How many winning paths are there in 4×4×4 3D tic tac toe grid? The winning condition is that a player must have 4 of their symbol in a line, which includes diagonally and vertically down.