This article investigates how actors in an interorganizational construction project engage in ambidextrous tensions related to digital transformation. The purpose is to understand how the overarching tension of exploration–exploitation manifests in practice and how actors navigate it. Based on a longitudinal qualitative case study with retrospective elements, six nested tensions shaped by institutional and temporal factors are identified. It shows how actors navigate these through distinct mindsets, resulting in heterogeneous practices and a fragmented digital landscape. The study concludes that digital ambidexterity is a situated practice, highlighting the importance of aligning mindsets.