LinkedIn Tango #568 Answer & Analysis

Start with the obvious pair constraints. In the top row, the two starting Moons make the Equal pair at C3-C4 impossible as Moons, so they must be Suns. In the bottom row, the two given Suns at C5-C6 force the Equal pair at C3-C4 to be Moons so the row does not create three Suns in a row.

Now apply the Equal links in columns 1 and 5. The linked cells in rows 2 and 3 settle as Suns once you combine the column balance with the fixed symbols already placed above and below them.

The Cross clues in rows 4 and 5 force opposite symbols in each linked column. Once row 5 is shaped by the center Sun, the opposite partners become fixed immediately.

With the strongest pairs fixed, the rest of the grid is forced by the 3-Sun/3-Moon requirement in each row and column. At this point, every unfinished row has only one arrangement that avoids three identical symbols in a row and also satisfies the remaining edge clues.

The final board now has every cell filled, every row has 3 Suns and 3 Moons, every column has 3 Suns and 3 Moons, and no row or column contains three identical symbols in a row. All Equal clues and Cross clues are satisfied, so the LinkedIn Tango answer is complete.