In this position, which for some reason kept yours truly awake some nights ago, all three assessments are true! Black can checkmate with
1...Qg2+!
[Otherwise the tables are turned: 1...Rxa6
2.Qd8+!
Kxd8
3.Rb8+
Qc8
4.Rd1+
Bd7
5.Rxd7+
Ke8
6.Rxc8#
; or the mirror variation 1...Bxc6
2.Rb8+
Kxb8
3.Qd8+
Qc8
4.Rb1+
Bb7
5.Rxb7+
and the inevitable QxQc8 mate!]
2.Kxg2
Bxc6+
and since the pawn f2 is pinned by the rook on a2, White only has
3.Kg1
(or the pointless 3.Qd5 Bxd5+ first) which is followed by
3...Nh3#
*