honestly i dont think it would match, but here some tips i always find red ankle boots go really well with grey and black coats and then a white coat goes good with beige boots (: sorry if i was no help (: but i also have another tip if you can't get those items i just listed try find a cheap beige scarf so that there is some type of connection between the coat and boots (:
The grey coat will certainly match the beige colored boots. Grey and beige are the permanent colors for basis in color match when it comes to women's dressing. Grey is considered the transition color of cold colors while beige that of warm colors, so they naturally match.
I think grey coat will match with beige coloured boots. It would actually look like a nice contrast and would suit very well. Grey is a light color so it would match with all the dark or glowing colors.