We propose a robust coordinated dynamic hosting capacity (HC) evaluation method considering active network management (ANM) techniques in three-phase distribution systems. Our proposed method extends the literature in two main ways. Firstly, by applying the adjustable robust counterpart methodology, we allow fast-acting devices, such as inverters, to take live recourse actions in response to demand and generation uncertainties while not making the unrealistic assumption that they have real-time communication with a central entity. Secondly, we propose a linear uncertainty model capable of handling the strong spatial correlation between PV outputs. We show that our proposed linear model, compared to the existing linearised ellipsoidal uncertainty model, significantly reduces the computational burden while introducing a minor error. We validate the optimality and robustness of our proposed methods via numerical tests on the IEEE 37-node unbalanced three-phase distribution system.