How to set it up: no running header if new chapter starts from facing page.

I wonder if it is possible to cope with this situation dynamically.

I have my master page set up like this: the left side page header is set to the book name, won’t change, all good. The right side page header is a basic running header of the chapter’s name. I’d like to apply this set-up to all the pages with the exception that the new chapter starts from the right-side page, in this case, I don’t want to have the header as that’ll be repetitive. So how do I set it up? I don’t see there’s any text variable setting relate to this in running header option.

Yes I can set up another master page and remove the running header from the right page, but I’ll need to manually apply those pages to those chapters that start from the right page, and when there are changes on the layout, be it text size change or leading change, the chapter page could start from a different side of the book, then I’ll need to manually apply those again. I hope there’s a way to get it done dynamically.