Reading this maze
Latch duet starts at row 5, column 1. Of the 42 grid positions, 28 are paintable and 14 are walls. The start is already painted; the other 27 tiles remain to be reached.
Diamond A at row 3, column 1 toggles the gate marked A. Diamond B at row 6, column 3 toggles the gate marked B. Start right and stop at row 5, column 2. A and B keep independent states; a diamond only changes its matching letter. The first slide covers 2 of 28 target tiles.
The verified opening crosses 1 tiles before stopping. A breadth-first search proves a 27-slide finish from this exact starting board; that is a reference target, not a move limit. You may revisit any painted tile.
Diamonds A and B control separate gate groups. Each letter toggles only its matching barred gate; the other group keeps its current state. Changes take effect during the same slide. Undo restores both groups, and Hint searches from both gate states and the painted floor.