Black might try 13...Kg8 with complicated variations:

 

 

13...Kg8 14.Qh5 Qf6 15.Qh7+ Kf8 16.Ne4 Qe5 17.f4*** Qd5 18.c4* where it first appears that white can keep up some pressure on either 18...Qc6 or 18...Qa5, but there is the line 18...Qc6 19.Qh8+ Ke7 20.Qxg7 Kd8 and now:

 

  a) 21.Nxd6 Qxd6 22.Qxf7 Re7 23.Qg6** Kc7 24.Bd2 b6 25.Rad1 Bb7 needs to be further examined:

 

[-0.52]  d=28  15.Bc3 Qxf4 16.Rxd4 Qf7 17.Qxf7 Rxf7 18.Rxe6(see note below) Rg8 19.Rd2 Nc5 20.Rf6 Re7 21.Bb4 Ne4 22.Re2 Rd7 23.Rf4 Rd4 24.b3 Kc8 25.Rf5 a5 26.Be1 Nc5 27.Rf1 Rd7 28.Bg3 (121:03.59) 147216432kN

 

 [-0.65]  d=27  15.Be3 Rf8 16.Bxd4 Ree8 17.Qxe8 Rxe8 18.Be5 Nxe5 19.Rxd6 Nf3 20.gxf3 Kxd6 21.Kf2 Rf8 22.Kg3 Bc6 23.Rd1 Ke7 24.h4 Rc8 25.b3 Kf6 26.Kf2 Rh8 (81:34.55) 97076140kN

 

(note) After 18.Rxe6 we have:

 

[-0.50]  d=31  18...Rg8 19.Rd2 Nc5 20.Re3 Ne4 21.Rde2 Nxc3 22.Rxc3 Kd6 23.h3 Kc5 24.Re5 Kd4 25.Re2 Rgf8 26.Rd2 Kc5 27.b3 Re8 28.Kh2 Rfe7 29.Rf2 Kb4 30.Rd3 Ba8 31.Rdd2 Rh7 (142:35.56) 137269117kN

 [-0.50]  d=31  18...Nc5 19.Re3 Rg8 20.Rd2 Ne4 transposes into the above line

 

  b) 21.Qxf7 Be7 and now a quick computer run favors black:

 

 [-0.64]  d=22  11.Ng5 Bxg5 12.fxg5 b6 13.g6 Bb7 14.Re2 Kc7 15.g7 e5 16.Bg5 d3 17.Rf2 (8:24.07) 10355033kN

 [-0.65]  d=21  11.b3 Nc5 12.Ng5 b6 13.Nf3 Bb7 14.Bb2 d3 15.Rad1 Rf8 16.Qg6 Qe8 17.Qg4 Qf7 18.b4 Qxf4 19.Qxf4 Rxf4 20.Be5 Rxc4 21.bxc5 Bxc5 22.Kh1 Rc2 23.Rxd3 Bd5 24.Bf4 Kd7 25.Ne5 Kc7 26.Rg3 (7:37.50) 9478495kN

 

Improvements?

 

 

***In Section I, drawing would be 17.cxd4 Qxh2+! 18.Qxh2 Bxh2+ 19.Kxh2 Nf6 and now 20.Nxf6 gxf6 21.Bd2 goes nowhere.

 

 

Because of the above outcomes, 12.Qxd4 or 12.Bc2 are solid and worth considering.

 

 

*18.Qh8+ Ke7 19.Qxg7 Qf5 is worth a look

 

**23.Qg8+ Kc7 24.f5 e5 25.Bg5 b6! 26.Bxe7 Qxe7 27.Qe6 Qg7 28.f6 Qg5 now scores -1.09/17 and black has uncoiled and possibly has the initiative in the line 29.f7 Bb7 30.Re2 Rf8 31.Rae1 d3