Of course the library will "lend" the aircraft to Trump, permanently.
It's a transparent effort to get around the emoluments clause.
Worse,
the arrangement means Trump will get use of the aircraft as he wishes while the federal government,
i.e. you and me and all the rest of US taxpayers,
will foot the bill for maintenance and operations.
Exactly how the library would cover the costs I don't know,
but you can bet they won't come out of Trumps famously tight (and tiny) fists.