Exclude table columns from filter

Goal

There are some columns in a table that I will never need to use in a filter. I want to hide them from the list of filter options

Details

You can see in the screenshot below that we have a Button type column with an Add action. I have it pinned to the left of the table, but I’ve also moved it to the bottom of the columns list, and yet it still shows up at the top of the filters list. Is there a way to re-order the filters list, or hide specific columns from the filters list?

I am using the built-in filter component of a regular table.

Screenshots