Is it permissible to purchase products in installments from a non-Islamic, interest-based bank, knowing that the price of the product does not increase with installment payments?

The bank's involvement in the transaction has three possibilities: The first: The bank acts as an agent for the company in collecting installments, and this is permissible. The second: The bank buys the commodity then sells it to the customer, and this is permissible under three conditions: that it buys the commodity before selling it, that it transfers it from the company's premises, and that it does not stipulate a late payment penalty. The third: The bank finances the customer with a benevolent loan (qard hasan) without interest or a late payment penalty. It is necessary to know the bank's role in the transaction and to observe the mentioned conditions. It does not matter if the bank deals with usury (riba) if the specific transaction is permissible.