This already exists. One example would be Ikea Scan & Go.
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Hell, there are like two dozen fully autonomous Żabka convenience stores in Poland that do this. Unlocks the door for entry, identifies the items you pick up by CV, pays for them automatically without interaction, and unlocks the door for exit. No app or phone necessary, no cashier or staff, no checkout. You just pick the thing up and leave.
https://www.youtube.com/watch?v=5t_-Na63kUY, https://youtu.be/ZMVbwVpBkKc?t=115 for the tech