Find two-period punishment strategy for each player and derive the conditions for them to be an SPNE

Trap Dance Rap Just Groove K-Pop Dance 4, 5 7, 6 11, 3 Sing 5, 13 6,8 10, 12 Dress Identically 8, 8 3, 7 9,1 Suppose is 0.8. Consider a strategy profile where; i. K-Pop plays Sing in the first period, in every period after K-Pop played Sing and Trap played Just-Groove, after K-Pop played Dress Identically and Trap Played Rap, and after K- Pop played Dress Identically and Trap played Just Groove. Otherwise, K-Pop plays Dress Identically. ii. Trap plays Just Groove in the first period, in every period after K-Pop plays Sing and Trap played Just Groove, after K-Pop played Dress Identically and Trap played Rap, and after K- Pop plays Dress Identically and Trap plays Just Groove. Otherwise, Trap plays Rap