All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
Once the debtor receives a loan, it becomes his property and is considered as a debt on him, whether that is a loan with interest or else. The jurists stated that a loan that one receives by a void contract becomes his property.
So, if it is confirmed that this institution borrows money with interest, then this borrowed money becomes its property and a debt, so there is no harm to deal with such an institution on the condition that the transaction is in principle permissible.
The fact that this institution obliges the customer to pay a greater amount of benefit than the interest charged by the bank to the customer, is not an excuse for you to deal with the bank that deals with usury and interest in this kind of transaction or any other transactions.
Lastly, it should be noted that the people who are running such an institution should be advised and warned about the evil fate of those who deal with interest and usury.
The Prophet said: “Allaah has cursed the one who consumes Ribaa (i.e. usury or interest), the one who gives it to others, the one who writes it down and the one who witnesses it”. He said: “All of them are equal in sin.” [Muslim]
Allaah Knows best.