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Three promising moves for Black to equalize are: 33...Rdc8 or Rd2 or Rxh3

After 33...Rdc8 Shredder gives the following:

1) +0.08 (41 ply) 34.Rd4 Rxc2 35.Rd8+ Kh7 36.Rxc8 Rxc8 37.Kb2 Kg6 38.b4 Kf6 39.Re1 g5 40.Rf1 gxf4 41.Rxf4+ Kg6 42.b5 Rb8 43.Rb4 Kf6 44.Kc3 Ke5 45.Kc4 Rc8+ 46.Kd3 Rb8 47.h4 Kd5 48.Kc3 e5 49.Rb2 Kc5 50.Kd3 f6 51.Rf2 Rxb5 52.Rxf6 Rb4 53.Rxh6 Rxg4 54.Ke3 Kd5 55.Rh8 Rg3+ 56.Kf2 Rh3 57.Kg2 Rc3 58.h5 Ke4 59.h6 Kf5 60.h7 Kg6

2) =0.00 (40 ply) 34.Re2 Rxh3 35.Kb2 Rg3 36.f5 exf5 37.gxf5 Rf3 38.Rb5 Kh7 39.Rh2 Rfc3 40.Rb7 Kg8 41.Rd7 Rf3 42.Rd5 Kf8 43.Re5 Rf4 44.Rb5 Ke7 45.c4 Kf6 46.Rh5 Rf2+ 47.Kc3 Rc7 48.Kd4 Rd7+ 49.Ke3 Rfd2 50.Rb6+ Ke7 51.f6+ gxf6 52.Rxh6 R7d3+ 53.Ke4 Rd4+ 54.Ke3 R4d3+

3) =0.00 (40 ply) 34.Re2 Rxh3 35.Kb2 Rg3 36.f5 exf5 37.gxf5 Rf3 38.Rb5 Kh7 39.Rh2 Rfc3 40.Rb7 Kg8 41.Rd7 Rf3 42.Rd5 Kf8 43.Re5 Rf4 44.Rh3 Rb8 45.c3 Rf2+ 46.Ka3 Ra8+ 47.Kb4 Rb8+ 48.Ka3

Game continued with Black playing 33...Rxh3:

33...Rxh3 34.Rb7 Kg8 35.g5 hxg5 36.fxg5 Rg3 37.Kb2 Rg2 38.Rc5 f5 39.gxf6 gxf6 40.Re7 e5 41.Rc6 Rf8 42.b4 f5 43.b5 f4 44.b6 Rg7 45.Rxe5 f3 46.Re1 f2 47.Rf1 Rg5 48.Rc3 Rb5+ 49.Rb3 Rbf5 50.c4 Kf7 51.Re3 Rc8 52.Ka3 Rf6 53.Re2 Rxb6 54.Rexf2+

E. 1.1
Black to move

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Syzygy says Black can draw
'https://syzygy-tables.info/?fen=2r5...

Game continued:
54...Ke7 55.Rf7+

E. 1.2
Black to move

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Black can draw with 55...Ke8! as 56. Ra7 is met by 56...Rcc6 or Rh6

But instead 55...Kd8? was played