Is it permissible to deposit funds in investment (unrestricted) deposit accounts or fixed-term accounts at the Syria International Islamic Bank and benefit from the profits distributed by the bank based on the aforementioned Mudarabah contract?

Naming a bank "Islamic" is not the criterion for judging it, but rather the extent of its adherence to Sharia (definition) regulations in its dealings. Depositing in the aforementioned banks and benefiting from their profits has not been forbidden by Islamic law. It is necessary to verify the bank's compliance with Sharia regulations.