I will present a new proof of the stability of flat spacetime in general relativity. The proof is based on a center-normalized Newman-Unti gauge, constructed by fixing a central timelike geodesic and considering the outgoing null cones emanating from it. I will compare the choice of gauge with other known choices in previous proofs. In addition to stability, I will explain why this gauge is well-suited for capturing precise global asymptotics. This talk is based on joint work with Sung-Jin Oh and Claude Warnick.