Once you've combined these wishes to make the Lamp Enchantment at the Alchemy Table, take it back to Jasmine in the Central ...

Welcome Jasmine into her and Aladdin's new house ... After you and Aladdin reach the house, talk to him. He will give you a magic carpet as a companion, equip it from the companion section ...

Once you have all the pieces, you'll bring them all together at the alchemy station and deliver the items to Jasmine in the central market. After you free the Magic Carpet, you can join Aladdin ...