Mate In Six

I MISSED an entertaining mate-in-six in my round three game from the Berks & Bucks Challengers.

White has just played 29.Rh1-h2 in William Golding (1574) - Spanton (1946)

White was losing whatever he played, despite being two pawns up.
The game saw 29...a5 30.f3 e3 31.Rc2 Qxc2+ 32.Qxc2 Rxc2 33.Kxc2 e2 34.Rg1 e1=Q 35.Rxe1 Nxe1+ 36.Kd1 Nxf3 37.h5 a4 1-0
However, in the diagram position, analysis engines give a mate-in-six: 29...Rxb3! 30.axb3 Qc1+ 31.Qxc1 Rxc1+ 32.Ka2 Nb4+ 33.Ka3 Nc2+ 34.Ka4 Ra1#