It's fixed for me now.

For some reason, the puzzle section repeatedly keeps giving me puzzle number 1. I am getting a rating increase for each solve, but never get a different puzzle.

33-29 and 31-36 are also winning, though the main line is better

It is. I'm not sure what I thought I saw... Scan says its a draw for a little while after the shot, but its an easy win.

For puzzle 1852, the resulting position after the shot is still a draw.

For puzzle 1628, 22-27 and 28-23 is also winning.

23-28 is also winning

Also, the moves 24-19 and 26-21 can be played in either order.

3: 48-43 and 40-34 are also winning

https://lidraughts.org/training/840 after 21-27 scan consideres the position equal (-0.1). it takes a few moves, but the capture of the king seems inevitable, resulting in a 7 against 7.