Any Batch/Share PCB Services That have 0.032" FR4 (0.8mm) Option?

I found one Panel Share service on the net with 0.032" (or thereabouts) PCB FR4 board thickness. Unfortunately, it is not providing that service anymore. Can anyone think of a budget minded company that provides such a service?

I have been using OSH Park, but they at present don't offer the skinny boards.
 
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