
Sorry, there aren't any settings or presentation modes that would hide that button.
Hi Tim, thank you for your quick reply!
There is a setting that removes "Add a filter +" using "fullScreenMode:!t" in Kibana dashboard URL.
But then Kibana Exit Full Screen icon appears:

Is there a way to hide it?
Generally speaking, this feature limits Kibana usage in app development because I guess in most cases product needs static dashboards that user cannot change and save. In this case dashboard flexibility works against iframe usage in apps. IMHO, it could be beneficial for Kibana product reconsidering this feature.
Are you looking for something like Dashboard-Only Mode? https://www.elastic.co/blog/kibana-dashboard-only-mode