What they said. Use a good grade, and my advice would be to not use a thickened grade. As close as that should fit, a thin glue will bond well and not squeeze out a permanent glue line. A lot of people don't know that art woodworkers often use superglue as a finish on wood turnings. They put a light coat on a pad and pressure it against the turning. It smooths out and the mild heat generated cures the glue instantly and it takes on a nice sheen, much like an oil finish. That doesn't look like a supergloss finish. If it were me, I would use a thin SG, apply the piece and hold it in an upright position so any runs are on the inside (with masking tape added close on both sides as a block). As soon as the glue is holding, wipe off any runs, remove the tape and polish the finish all around with a soft cloth and a goodly amount of hand pressure. Use a little gunstock polish and wax to finish if needed.
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