Despite the undeniable success of the Large Hadron Collider (LHC), Beyond the Standard Model (BSM) physics remains elusive. In this talk, I will outline a multifaceted strategy to maximize discovery potential at current and future high-energy experiments. This includes developing novel observables and search techniques tailored for the LHC, as well as exploring benchmark BSM scenarios to guide the design of the next collider. Additionally, I will discuss the role of auxiliary experiments, such as beam dumps, in extending the reach of collider searches. While BSM discovery is not guaranteed, we can take decisive steps to ensure no potential signal goes unnoticed.
