What is the ruling on profits resulting from funds that a mother deposited in an Islamic branch of an interest-based bank, knowing that this branch has an independent Sharia committee, and if these profits are impermissible, how should they be disposed of?

If the branch's transaction is independent of its origin and compliant with Sharia, then the profit is permissible (halal) and is to be divided among the heirs according to their shares. However, if it becomes clear that the branch is falsely claiming to conduct Islamic transactions as a deception, then dealing with it was due to ignorance, and withdrawing from it after suspicion was the correct action. And if it is found that the transaction involves usury (riba), then the profit is forbidden (haram) and must be withdrawn from the bank and spent on the poor, the needy, and other charitable causes.