Infinite: I Miss You So Much on Death Island

[Welcome to the Island of Timed Death!] [Two male leads, puzzle game, devoted couple, powerful duo, seme protagonist, nonhuman characters, deduction, mild horror] Three hours for an ice-cold cola; 72 hours for a shoulder-fired rocket launcher; six hours for a king-size room... Please pay with your time... Sorry... Your balance is insufficient... Please note: [When your time reaches zero, you die!] Take part in the games and win generous rewards. Ways to earn time: Solve puzzles, deceive, kill. There's an option to suit everyone. (The second male lead appears at the end of Chapter 2. Pure sweetness, no angst.)