While I haven’t used Monte Carlo simulations before, in addition to the risk register and Monte Carlo simulation, consider managing interdependent risks in a complex project by creating a Risk Dependencies Matrix to track how risks affect each other, particularly those on the critical path. Additionally, use Key Risk Indicators (KRIs) to monitor trigger points that signal when risks are likely to materialize. Finally, build a risk dashboard to visualize and report on the interdependent risks and their potential impact on project delivery.
I also found this article below, which might be useful for you. I suggest you reach out to the researchers if needed:
Monte Carlo Dependency Estimation
1810.02112 (arxiv.org)