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This will balance the basket, ensuring that it doesn't topple over. Only proceed to the next step when the glue has dried. (It helps to press down on the circle, placing your finger into the base of the carton cup.) Pierce two holes either side of the cup, just down a little from the top of the cup, at even heights. Push one pipe cleaner end through one hole and loop around to keep in place. Push the other end into the other hole, again making a loop to keep it in place. The handle should now form an arc over the top of the carton cup, serving as the basket's handle. It's now a miniature basket.
Glue the circle to the base of the carton cup. Add the basket handle.