How to get white etched flowers off of glass?
I really do think you’d be best advised to replace the glass. Even if the etching is only, say, a half of a thousandth of an inch deep, removing the etching is unlikely to be possible without remelting the glass or by machine polishing (something like Blanchard grinding). Regardless of how removing the etching might be attempted, taking the glass out of the cabinet would be necessary, and if you do that you might as well replace it. Much less trouble and cost.