Is the transaction mentioned in the attached contract, which stipulates the bank's purchase of the property from a first party and its subsequent sale to another party (the final buyer) with the price paid in installments, considered permissible under Islamic law?

There appears to be no Sharia-related prohibition in the mentioned contract clauses; this is because the bank first purchases the property for itself, and then, after taking possession of it, sells it to the third party who ordered the purchase. If this is indeed the case, then there is no objection to the transaction. One can refer to the Sharia board of the bank or trusted scholars for clarification in case of doubt.