Pause the automatic cycle you can read the official documentation here...

Bootstrap 5.0, 5.1, 5.2, 5.3
https://getbootstrap.com/docs/5.0/components/carousel/#disable-touch-swiping

https://getbootstrap.com/docs/5.1/components/carousel/#disable-touch-swiping

https://getbootstrap.com/docs/5.2/components/carousel/#disable-touch-swiping

https://getbootstrap.com/docs/5.3/components/carousel/#disable-touch-swiping

In all the versions of bootstrap 5+ you need to disable touch swiping by adding data-bs-touch="false" attribute but in some version additionally you need to add data-bs-interval="false" attribute as well.