Create an idle/tycoon early-game economy model for a browser game. Theme: The player starts at the bottom of the digital economy as a captcha worker. The player manually solves captchas to earn money. Later the player unlocks copywriting courses for $10 and progresses into better digital work. Core resources: - Money - Attention / fatigue - Accuracy Manual actions: 1. Solve Simple Captcha - Takes 4-6 seconds - Reward: $0.05 - Low fatigue - Low error chance 2. Solve Complex Captcha - Takes 7-10 seconds - Reward: $0.10 - Higher fatigue - Higher error chance - Should be roughly 2x money but not always strictly optimal because of time and fatigue First unlock: - Copywriting Course - Cost: $10 - Target time to unlock: 8-15 minutes of active play Early upgrades before the course: - Better Keyboard: costs $0.50, reduces captcha time by 10% - Focus Mode: costs $1.50, reduces error chance by 20% - Symbol Memory: costs $3.00, increases simple captcha reward by 20% - Pattern Recognition: costs $5.00, increases complex captcha reward by 20% Design goals: - First purchase should happen within 1-2 minutes - Player should have meaningful small goals every 30-90 seconds - Reaching $10 should not require more than 15 minutes - Complex captcha should be tempting but not always dominant - Fatigue should make long sessions less efficient unless the player buys upgrades - The economy should be easy to tune with variables Please build a Machinations diagram with sources, pools, converters, gates, drains and registers. Include a simulation setup that shows: - Time to first upgrade - Time to $10 copywriting course - Money per minute over time - Whether simple or complex captcha dominates - Effect of fatigue on income
