W has 7 corners, N has 6, the others have 5.
(When played each piece loses 3 playable corners, but the relationships hold.)
Darth played the V (Clue 5), so he is not Red (Clue 3).
Loser didn't play red (Clue 1), nor did Mike (Clue 4), so Ccc33 was Red.
The Red piece wasn't V or L (Clue 3),
nor was it N (Clue 2), so it was W.
The N played after the W (Clue 2), so it was Green.
The V is not Green (the N is), nor Red (the W is),
nor Blue (Darth played it, not Mike, Clues 4, 5), so it's Yellow,
and Mike's Blue piece (Clue 4) is the L.