Build my weekly meals around what is actually in my fridge

There is half a cabbage, three eggs and some questionable mince already in there. Instead of binning it on Friday, this builds a five-day dinner plan plus lunches around what you need to use up, with rough prep times and a grouped shopping list so you buy once. Tuned to your household, budget, skill and weeknight time.

Design a practical weekly meal plan for me.

Household: {HOUSEHOLD_SIZE}
Dietary needs: {DIETARY_CONSTRAINTS}
Weekly food budget: {FOOD_BUDGET}
Cooking skill level: {SKILL_LEVEL}
Time available on weeknights: {WEEKNIGHT_TIME}
Ingredients I need to use up: {USE_UP_INGREDIENTS}

Give me a 5-day dinner plan plus lunches. Each meal should have a rough prep time. Group shopping items so I buy once. Flag which meals can be batch-cooked on Sunday to save weeknight time. Keep the variety reasonable. I am not a chef.