Out of Boundary - State Definition

Define $dp[r][c][k]$ = number of paths starting at $(r, c)$ with exactly $k$ moves remaining that eventually leave the grid.

The difference from knight: we're counting paths, not computing probability. And leaving the grid is success, not failure. We need to sum over $k$ from $1$ to $maxMove$. A path can leave on move 1, move 2, ..., or move $maxMove$. This dp definition has all the information needed to count paths from (r, c) with k moves.