Braze joints for a component and methods of forming the same

A method of brazing a recess defined within a base, the recess depending from a base surface of the base into the base to an inner edge, the method comprising:

• creating a cap of braze material above the recess, the cap having an exposed braze surface;
• positioning a thermal insulation layer over the exposed braze surface;
• heating the braze material within an environment to create at least partially molten braze material that includes a first portion adjacent to the cap, and a second portion adjacent to the inner edge;
• and
• cooling the at least partially molten braze material to form a solid braze joint within the recess, wherein cooling the at least partially molten braze material comprises selectively extracting heat from a location on the base, the location being closer to the inner edge of the recess than to the cap, such that heat extraction at the location is greater than heat extraction at the cap.