These games are often grindy. You need specific items or currencies to progress.
Key Items:
Key Decision (Turn 4): The game offers you "The Charity Gala." Attend (Cost: $2k). Do not embezzle from the orphanage yet. Instead, select "Network with Security." This gives you the "Security Footage" card, which is a Get-Out-of-Jail-Free card later. Corruption Game Walkthrough Guide
Key Factions: Police, Media, Underground. Best times: Afternoon (talk), Night (gifts/progress)