This summary is not the rule. The rule text controls.
If your attorney is scheduled to be in trial in two different courts at the same time, this rule explains how that scheduling conflict gets sorted out. First, the judges involved in the two cases try to work it out between themselves, deciding which trial should go forward and which one needs to be rescheduled.
If the judges can't agree on a solution, the problem gets sent up to a higher-level judge called a departmental justice. This person has the authority to make the final call on which trial takes priority.
If the two courts involved happen to be in different judicial departments (Kansas is divided into different regions for court administration), then the issue goes to both departmental justices from those regions. They work together to decide how to fix the scheduling conflict. This process helps make sure attorneys aren't forced to be in two places at once, and it keeps cases moving forward without unnecessary delays.