The business analyst should assess the impacts of the technical constraints on the project scope, schedule, budget, quality, and risks. The BA should also re-prioritize the requirements based on the new information and the stakeholder needs. This will help the BA to ensure that the project delivers the most value to the business and the customers, while also managing the expectations and addressing the issues caused by the technical constraints.
References: The answer is based on the BABOK® Guide, which is a key resource for the CCBA® certification. Specifically, it relates to the Requirements Analysis and Design Definition knowledge area, where assessing and re-prioritizing requirements are essential tasks for the BA12. It also relates to the Requirements Life Cycle Management knowledge area, where the BA should manage changes to the requirements and communicate them to the stakeholders13.