Most of the tiny hex heads I've encountered have been 5.5mm. Seems a strange size, until it compares almost exactly with 7/32".
Tiny socket sets are often easier to find in inch sizes, although the 7/32 seems to be the only one I've used in 40 years.
If you've got some Blu-tack, or similar, press it onto the head, and remove carefully. The indent should be measurable. Kids plasticene works well to, probably better, but chewing gum, not so much.