Formula to collect column names if there is a "1" present

I have a pivot table that I am attempting to use in order to collect a list of all jobs that our subcontractors have/are working on. Basically, I want a roll up of all jobs that each sub has worked on. The sheets where this info is held are all on individual sheets, which is the reason I used a pivot table to try and get everything on a single sheet.

The rows are each subcontractor and the columns are the names of my jobs If a sub is working on that job, the column will have a "1". I assume I need some kind of Join(Collect( formula, but unsure how to snag the name of the columns without creating 100+ extra 'helper' columns.

This is what I am looking for the formula to do:

Ideas?

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