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Who is better and who wins finally?

I think this leads to a draw. White wins material, but white cannot checkmate as his own king is also unsafe.
The correspondence game ended in a draw after all. So the white player was praying to the engine in vain.

This must be black to move unless black lost a tempo. The FEN also indicates b = black to move.

I think this should end in a draw with best play from both sides.
QQR vs QBBNN | White to move | Can't castle 0-0

What does your intuition say about this imbalance?

#7 Intuition is not to be trusted as this is an illegal position. At first sight white enjoys a material advantage, but it seems hard to convert to anything tangible. I think it is a draw with best play from both sides.

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