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I think 1. …g6, immobilizing his own king will probably give black a draw simply because he can sacrifice both pieces if he needs to, and I don’t see how white can do anything about it- if white relents on the 4th rank by moving the rook off of it to open up g4, the pawns all fall eventually. Moving the bishop to f2 to protect h4 allows an immediate Rxb4 with a sure draw. On 2.Rd4, black just takes the pawn with the knight with another sure draw.
1…g6!!, 2. Kh1 Nxb4!!, 3. Rxb4 (3. Bxb4 Rxb4!! – draw by stalemate) Rh2+!!, 4. Kg1 Rg2+, 5. Kf1 Rf2+, 6. Ke1 Re2+, 7. Kd1 Rd2+, 8. Kc1 Rc2+! 9. Kxc2 Stalemate!! (9. Kb1 Rxc5! draw!)