That way you could use the remaining cash for a customer push and replenish your cash reserve at the same time. Prepare your rebranding peacefully and if you actually run out of cash, you won't have to rebrand (in some countries, this is costly).
Another thing: contact the domain squatter of the other brand. Ask him how much he wants for the domain. If you run out of Cash, consider selling your domain to the other business owner for half the price. Heck, you could even sell your website and design.