Apply Measure Names filter to Selected Worksheets

The summary of my problem is that I am using Measure Names as a filter on multiple sheets and I would like to apply the same filter across the multiple sheets. 

As it is known, this option is unavailable for Measure Values. 

I do not see pivoting the data as an option, as my measures have varying formats. I also cannot implement a parameter, as I want to be able to select many measures at once. Also, I would like the solution to be adaptable to data and workbook updates if new measures are added. 

I am open to additional suggestions and solutions. 

I am using Tableau version 2025.3.