A method of producing a fluid-tight seal between a thin, flexible member and a member support including the steps of providing a moat for receiving excess braze material on an external surface of the member support and a dam adjacent to the moat to confine the excess braze material to the moat and having a height above the bottom of the moat to extend the dam past the external surface of the member support to accommodate the thickness of the braze material on the external surface of the member support used for a brazing of the member to the external surface, positioning the member to extend across the dam and the external surface while contacting only the top of the dam and brazing the member to the external surface while maintaining the contact between the top of the dam and the member to uniformly support the member.