Your question asks what type of shopping center Phil is shopping at.
The reason why "Neighborhood Center" would be the correct answer is because the stores that Phil is going to is more "convenient."
The stores that Phil went to: dry cleaner, gift shop, and supermarket are all stores that are more convenient to customers. Neighborhood centers have stores that are more convenient to customers, due to the fact that they people would be shopping for essential items that would go well with ones well being or for the house.
Since the stores that Phil shopped at are convenient stores, and neighborhood centers have convenient stores, this means that Phil is shopping at a Neighborhood center.