Based on the title alone I would say "find the most important aspect of each side's view and come up with a compromise that satisfies both parties"
I've done this several times now and it hasn't failed me yet. The hard part is discovering "the most important aspect of each side's view" because sometimes they themselves don't know it without some probing.
Also, to use the example from the blog post, maybe the new reporting dashboard was an instance of a X/Y problem. Maybe the customer need something else, they don't quite know what yet.
Maybe they really do need the reporting dashboard, but can accept a workaround and a concrete timetable for when the new feature will be implemented.
I've done this several times now and it hasn't failed me yet. The hard part is discovering "the most important aspect of each side's view" because sometimes they themselves don't know it without some probing.