Narrow Width Approximation (NWA) is ubiquitous in searches looking for physics beyond the standard model. But for many BSM theories, such an approximation is often a convenience  and not a physical constraint. Moving away from NWA can open unforeseen portals to new physics effects. This talk will explore the effects of moving away from NWA in the context of Vector-like Quarks (VLQs). Moving away from NWA causes large contributions from non-resonant production diagrams,  poses  computational challenges to generating Monte-Carlo simulation samples, and requires dedicated methods for interpretation of the search results. In this talk I will summarize how a unified search strategy for single VLQs have been developed by taking these considerations into account, what lessons we have learned in the process, and what they imply for Run-3 (ongoing physics data collection) and beyond.