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White to play has one move to be SLIGHTLY better

Nice position ! I see 1.Bc4 Rxd2 2.Bxe5 Rxd1 3.Kxd1 Qd6+ (or 3...Qf6 4.Bxf6) 4.Bxd6 exd6 5.fxe4 and White is a piece up.
So Black needs something better, now I see:
2...Qxc4+ 3.Nxc4 Rxd1+ 4.Kxd1 f6 5.Nxb6 axb6 6.Bd4 White is also a piece up, the few pawns can't be enough compensation. (Edit: Maybe this is what you call 'slightly better') 6...exf3 7.Nxf3 Rxa2 8.Kc2
So what about 1...Bh3? 2.Bxe5 Nxc4?? 3.Qxd8+ is soon mate ; 2...Rxd2 3.Rxh3 is even worse than in the first line.
2...Nd3+? does nothing. 3.Qxd3 Rxd3 4.Be5 Same thing.

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