Floating, non-contact seal with offset build clearance for load imbalance

An engine comprising:

• a first structure;
• a second structure configured to rotate relative to the first structure;
• a floating, non-contact seal that interfaces the first structure and the second structure, wherein the seal includes:
• a shoe;
• a first beam coupled to the shoe;
• and
• a second beam coupled to the shoe;
• and
• a gap between the shoe and the second structure, the gap having a radial width during a non-operational state of the engine,
• wherein the radial width of the gap defines a position of the shoe with respect to the second structure wherein a reference point of the shoe, during the non-operational state of the engine, is substantially centered within a range of the radial deflections of the reference point of the shoe over the operating range of the engine.