When I got 245 seconds on my first run at this game, I said to myself "Man, this is the easiest Hard Badge on the site!"
THEN I failed 12 consecutive times.
Easy way to get lots of infamy fast:
1. Buy goblin health
2. Buy creature number
Then enter stage 2, put it on speed, and let it play while you do something else. Repeat a couple times. Voila.
People, it is honestly not that hard.
ALL you have to do is buy a parachute as early as possible. The rest works by itself. I complete the game in 8 days or fewer 100% of the time.