What is the strongest line for White?

ICC tourney 1361 (12 3), Internet Chess Club
Analysis of IAlwaysWin (1619) vs. john2001plus (1635)

8 7 6 5 4 3 2 1 a b c d e f g h 0

(white to move) 1. d4 Nf6 2. c4 e6 3. Nf3 b6 4. g3 Bb7 5. Bg2 Be7 6. O-O O-O 7. Nc3 d5 8. cxd5 Nxd5 9. Nxd5 Bxd5 10. Qc2 Nc6 11. Rd1 Nb4 12. Qb1 Rc8 13. a3 Nc6 14. e4 Bb3 15. Rd3 Na5 16. Nd2 Bd1 17. b4 Nc6 18. Bb2 Ba4 19. d5 Bb5 20. Re3 a5 21. Nf3 exd5 22. exd5 Na7 23. Nd4 Bf6 24. Nf5 Re8 25. Rxe8+ Qxe8 26. Bxf6 gxf6 27. Qd1 Be2 28. Qd2 Qe5 29. Re1 Qxf5 30. Qxe2 axb4 31. axb4 Rd8 32. Qe7 Rd7 33. Qe8+ Kg7 34. g4 Qxg4 35. h3 Qxb4 36. Re3 Qb1+ 37. Kh2 Rd6 38. Rg3+ Qg6 39. Rxg6+ hxg6 40. Qa8 Nb5 41. Qa4 Nc3 42. Qb3 Ne2 43. Qc4

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Click here for 38. Be4.
Click here for 38... Kh6.