2024/05/20 DPA: "I Spy...A Hanging Piece"

Black to move.
Material is even.
White's back rank seems adequately defended.
1. ... Ng4, threatening 2. ... Qxh2+ and 3. ... Qh1#, fails due to 2. fxg4.
1. ... Rxd2 doesn't do anything.
After somehow thinking Black could play 1. ... Ng4 and then 2. ... Qd4+ by moving through the pawn on g4 but winning back the piece, I realized that I didn't need the Knight: 1. ... Qd4+ attacks the King and adds a second attacker of the Bishop.
White would love to block with the Bishop but that loses also.
.
The key was recognizing the dual-purpose of 1. ... Qd4: the check and the 2nd attack of the Bishop, which is defended only once.

As a thought experiment, look what happens when the light-squared Bishop is not there: now 2. Be3, blocking the check and removing the Bishop as a target, works because the Bishop is defended by the Rook.

In this case, the dual-purpose attacking move was met with a dual-purpose defensive move. When I watch GM games, they frequently make dual-purpose moves.