You could stop it, do a snapshot of the storage and backup that for <1 min of downtime probably.
But at the same time, if you're not a global company, doing it at 3am is probably fine.
It can be an issue if you are using gitlab as your container/package registry and production workloads need to pull from it, though.
Doing a snapshot of the storage while it's running wouldn't be bad either, it'd just be like having cut power at the point of the snapshot, right?