An appliance includes an outer wrapper, an inner liner, a trim breaker having a channel that receives at least one of a wrapper edge of the outer wrapper and a liner edge of the inner liner, and a composite encapsulation system that hermetically seals an insulating cavity defined between the outer wrapper and the inner liner. The composite encapsulation system includes a base adhesive and an outer adhesive, wherein the base adhesive defines a structural adhesive component and the outer adhesive defines a sealing adhesive component.