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Luckypip Gssixgun (Glen) has started a new thread relating to your problem called "Worn out Wedge Style razor - Re-grind or a new idea !!!" You may like,
Not the tape thread but I can't find what...

i would go the multi layers of tape first
1st layer or 2 or required to get the thickness to your liking for build up of the spine thicness & hone this tape down to the the even thickness then...