Implement dynamic safety margins for chefBot

[kevinmaes]

Parent Issue: #180

Objective

Replace fixed safety buffer (75% of pot width) with dynamic calculation based on current conditions.

Current Problem

Static safety margin of 0.75 * potRimWidth doesn't account for:

• Chef's current speed (faster = need more margin)
• Egg's horizontal velocity (faster eggs = harder to catch)
• Remaining reaction time (less time = need more margin)

Proposed Solution

function calculateDynamicSafetyMargin(
  chef: ChefData,
  egg: EggData,
  timeToCatch: number
): number {
  const baseMargin = chef.potRimWidth * 0.5; // Start at 50%
  
  // Adjust for chef speed (0-1 normalized)
  const speedFactor = Math.abs(chef.speed) / chef.speedLimit;
  
  // Adjust for egg horizontal velocity
  const eggSpeedFactor = Math.abs(egg.henCurrentTweenSpeed) / 10; // normalize
  
  // Adjust for urgency (less time = more margin needed)
  const urgencyFactor = Math.max(0, 1 - timeToCatch / 5); // 5 seconds as baseline
  
  return baseMargin * (1 + speedFactor * 0.3 + eggSpeedFactor * 0.2 + urgencyFactor * 0.25);
}

Implementation Details

1. Add calculateDynamicSafetyMargin() in tests/machines/helpers.ts
2. Replace hardcoded 0.75 * potRimWidth in isEggReachable()
3. Tune weight factors through testing
4. Add visualization option for debugging margin sizes

Impact

• More accurate reachability calculations
• Fewer edge-of-pot misses
• Better performance with fast-moving eggs

Success Metrics

• Reduced "almost caught it" misses
• Maintained catch rate with tighter margins
• Better performance at higher game speeds