Is it permissible to deal with a usurious bank that offers Sharia-compliant financial instruments (such as Murabaha, Musharaka, and Ijarah) for acquiring a home, in the event that an Islamic bank is not available in the country?

If the newly introduced transactions of the bank are Sharia (definition)-compliant, then there is no objection to dealing with it. However, the client must not determine the permissibility or impermissibility of a transaction based on the bank's statement. Rather, they should consult scholars, as Allah Almighty says: "So ask the people of the message if you do not know." The decisive factor is the reality of things, not their names.