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You can allow biblio group creation book, lend and all the other operations using BookLibrary : Settings Frontend.
Go to admin area - components - BookLibrary : Settings Frontend and for Show Lend status - choose Yes.
and Allow Lend Requests choose your group biblio.
The same for Show Add book button - chose Show and your group biblio.
It will be available only for that group.
Move in this way.
Follow attached image
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