My toddler insists on carrying the same stuffed animal everywhere — even to the grocery store

My 2-year-old has this one stuffed bunny she’s completely obsessed with. She carries it around all day - at home, outside, and even insists on bringing it to the grocery store. I get that it’s comforting, but sometimes it’s a bit of a struggle. Like yesterday, she refused to get in the cart without the bunny, and when I tried to put it in the cart, she threw a little fit. I’ve tried bringing a backup toy or distracting her with snacks, but she’s just not having it. I want to honor her attachment but also make outings smoother without constant battles. Has anyone else navigated these clingy comfort objects in public? How do you balance letting them have their security item and keeping errands manageable? Any tricks for easing the transition when you really can’t bring the toy along?