**First Hint**: Start by mapping each skill to the indices of people who possess it. This will help you quickly identify which people can cover which skills.

**Second Hint**: Use a backtracking approach where you iteratively select people who cover the most uncovered skills until all required skills are covered. Keep track of the current team and the remaining skills to cover.

**Third Hint**: Optimize the backtracking by pruning paths where the current team size exceeds the smallest team found so far. Additionally, sort the people in descending order of the number of uncovered skills they can cover to prioritize more promising candidates early in the search.