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With two different colours and textures involved I would not be capable of pulling off something that would satisfy me, nevermind my wife.
I’d still rather try taking the rough edges off.
Have a look at Kintsugi, then find another mug similar to the favourite one and chip out a bit that is roughly the same size, use the files to dress both the chip and the mug, bond back together with gold epoxy, wallop.
With two different colours and textures involved I would not be capable of pulling off something that would satisfy me, nevermind my wife.
I’d still rather try taking the rough edges off.