Anchoring your highest tile in a corner lets you order the adjacent edge from high to low, creating a controllable pipeline. This reduces randomness and preserves empty cells for alignment.
Pick two orthogonal directions (e.g., Left and Up). Use them 90% of the time to maintain ordering; the other directions are only for planned merges or recoveries.
Stop using the direction that displaced the anchor. Compress toward the intended corner until the anchor reseats; then rebuild edge order.
Merge small tiles away from the anchor side to free space, then restore ordering before attempting high merges.
Practice these habits and your corner will remain unbreakable. Play now to apply them.