Pawn and Two: <Hesam7> I had Fritz look at your suggestion, 24...Qh4.
Fritz quickly rejected 25.Rad1 and 25.Qxb6.
Fritz also did not select as it's first choice 25.Bf1, but considered that move would lead to an equal position (.04) (17 ply). After 25...Bh6 26.Qg3 Qxg3 27.hxg3 Bd2 28.Re2 h5 29.Rd1.
Fritz's preference after 20.b5 axb5 21.Bb5 Qe7 22.Ne5 Nxe5 23.dxe5 Red8 24.Qe3 Qh4 was 25.a4, (.30) (18 ply) and here Fritz recommended 25.a4 Bh6 26.Qg3 Qxg3 27.hxg3 Bd2 28.Re2 Bb4.
Fritz also considered (.21) (18 ply) 25.g3 Qh5 26.Be2 Qh3 27.Bf1 Qh5 or 25.g3 Qg4 26.Be2 Qe4 27.Qxe4 Bxe4.
All of these lines appear to be headed for a draw.
I think a draw was the legitimate result for this game and our additional analysis also shows that a draw would be the likely and correct result.