Fuji Focus Bracketing is not a function of the lens but of the camera body and it was introduced in spring 2018 - any X camera since then should be capable. It was a Kaizen upgrade for my X-T2 at the time. I don't recall if there was an auto function possible with my X-T2 but there is with the X-H2S. I have never used the auto function myself, I've always used manual.
If you downloaded a copy of the X-H2S manual, you will find the selection on Focus Bracketing on pages 116 and 117. The issue you are having may be with your step setting of 5 if you are trying to make a macro stack. As indicated in the illustration on page 116, the step values translate to a smaller number is a shallower change in focus and a larger number is a deeper change in focus. At 5, you may be too deep of a slice for macro. I have my setting at 3 for moths and insects and I am shooting with the XF80mm Macro. That may work for the XF60 or you may need a further adjustment - try and see.
For a better understanding, this video is pretty good: Focus Bracketing on Fuji X Camera's (X-T3 X-T30 X-T2 X-H1 etc)
Link to select and download owner's manuals for Fuji cameras: https://fujifilm-x.com/en-us/support/manual/cameras/
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