Is it forbidden to transfer money from another country, receive the amount in Dubai, then buy the required currency and transfer it to personal and corporate bank accounts, without knowing whether these accounts are interest-based or not?

The transaction is permissible if it falls under the category of agency, meaning you purchase the currency desired by the sender and send it to the specified destination in exchange for an agreed-upon commission. It is not permissible if it is an exchange (Sarf) between you and the sender, where he transfers one currency to you for you to transfer another currency to him, and your profit comes from the differences, due to the absence of immediate possession (Taqabud) in the session. If it is an agency, then your lack of knowledge regarding the type of bank account to which the transfer is made does not harm the transaction, because the original principle is to consider the actions of a legally responsible individual as valid and permissible.