I read "mitre" and "bevel" somewhat differently.

Roughly, "mitre" is set to half the required angle at the corner, so to get an octagon, (angle 135°), one might mitre the boards at 67° 30'.

"Bevel" is a finishing to the finished product. So a 45-degree bevel applied to a square board might turn it ...

Hi

see, Wiktionary at miter

This gives mitre as a cut, usually 45 degrees, designed to fit tightly into another cut. One might use a "mitre box" (typically a pair of parallel boards, with precut grooves for 45, 90 degrees, to achieve this end.

see Wiktionary at bevel

A bevel is a non-90 degree ...