No, that is not reason to name the bank. The bank is not a party to the problem. They are not demanding a court order directing them specifically. They are demanding you present a courts ruling that any given party in your partnership controlling powers of your partnership. Involving the bank likely to result in additional costs to you as they will have to involve their legal department where you will be faced with whatever motions they bring.
as to 1/3 of the funds to you: unless those are the only assets of the business and there are absolutely no liabilities, you are not due 1/3 of those funds. As well while a court may determine you are. 1/3 partner, that does not mean the court will order you be given 1/3 of the business. A buyout ( which is what it appears you are seeking) is not something a court tends to do, at least without hours upon hours of study of your business so as to evaluate the company and place a value on it. That means you will expend thousands of dollars to have an accountant study your company. If you are not seeking a dissolving of the business, then the court has no right to order any money be distributed to you as that would allow the court to involve themselves in the operation of the business which it has no business doing.

