Can an Embedded Report Filter a Second Embedded Report on the Same Webpage?

The objective is to create a similar user experience as presented from within a PowerBI App - with a hierarchical menu to the left.

A thin (200px) iFrame as an Embedded report for the 'menu' - and - a second 16:9 iFrame to the right for display of 'standard' reports, but selectable (by passing URL filters) from the 'menu' report frame to the second 'standard' report frame.

I want to avoid building menuing methods on each page of every report. Seeking a more flexible solution where the menu list display is dynamically defined within the dataset model using RLS. (Yes. This works.)

Is this doable? Another option would be to include an entire PowerBI App as-is within an Embedded iFrame. Is this a possibility?