Solution to Puzzle 4:

In this post, King will be abbreviated as K, Giraffe will be abbreviated as G, and Knight will be abbreviated as N. Captures will be abbreviated as x.

I don't play favour chess so I assume that the kings move and capture like chess kings.

White's best result is to draw the game.

At first, it seems that white is winning via 1.Gd4 (skewering black king and queen) Ke6 2.Ng7 (winning the black queen).

However, after Ke5 3. Nxe8 Kxd4 4. Kc2 Ke3 5.Kd1 Kf2, black wins by domain victory.

Thus, white's best move is 1.Nc6 Ke6 2.Nd8 Ke5 (If Ke7 then Nc6) 3. Nf7 Ke6 4. Nd8 Ke5 5. Nf7 Ke6 6. Nd8 and the game is drawn.

If after 4.Nf7 black plays Ke4, 5. Nd6 Kf3 6. Gb2 Kg2 7. Nxe8 white stops black from winning by domain victory and wins the game.

Thus, black is forced to repeat moves and accept a draw.