3D Tic-tac-toe

In a standard $3 \times 3$ tic-tac-toe game, a player wins by placing three of their symbols consecutively in a straight line—either in a row, a column, or along a diagonal. Now consider a $5 \times 5 \times 5$ cube (a 3D version of the game). How many distinct straight-line paths of exactly 5 consecutive cells exist in this cube? A valid path must consist of 5 cells that are connected in a straight line—whether along the same row, the same column, or diagonally in any direction.