If Black answers the initial check with K6=5, then after R8+5 A5-4, there comes the deadly R8=6!
As the Chariot cannot make a frontal check, the Horse has to invade from a different spot.
The presence of Black’s Cannon throws a spanner into the assaulting plan in RHC 06. Still, Red is able to penetrate Black’s defence, forcing the Tiger’s Silhouette checkmate.
Only the first 8 moves are given. You should be able to make a detour and open another avenue of attack to overcome the additional hurdles.