Hi there!
Please check the permission of SP Page Builder from the global configuration to see if it is set not allowed to edit features for public user group.
If your permission is all good then you can try the following:
Following custom CSS code you have to use inside module "HD-Custom CSS" published on "debug" position.
You need two variants of that module.
First set for all users (users group) with
#sp-page-builder .sp-pagebuilder-page-edit {display:none;}
And 2nd module set for Super Users group only
#sp-page-builder .sp-pagebuilder-page-edit {display:block !important;}
Hope this helps anyways!
Best Regards