To extend the proposed approach to handle continuous delays where actions are not dropped or duplicated, we can introduce a more sophisticated method for planning and deriving continuous actions. Instead of relying on discrete actions in a pending queue, the algorithm can be modified to predict and execute actions continuously based on the delay values. This would involve adapting the decision-making process to account for a range of possible delay values and their impact on the timing of action execution. By incorporating a mechanism to plan and execute actions continuously, the algorithm can better adapt to delays that vary in duration and do not necessarily result in dropped or duplicated actions.