I found the exact shoes Lee wears in the film! They are called "Reebok Hammer Hi Tops", but unfortunately these were made in the 80s so they are a vintage item. It's
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Amazon.com | Reebok Work Men's Dayod Comp Toe Skate Shoe Black - 4 Medium | Fashion Sneakers
Amazon.com | Reebok Women's Royal Nylon Fashion Sneaker, White/White/Steel, 5 M US | Fashion Sneakers