get a plug from the underside off the stave its to plug around 12mm deep just make sure it 50mm or so away from the area your plugging aboveplug of wood over the screw head then you won't see it, and if you can get a good grain match with the plug it will blend in well
Look up plug cutters (just need some scrap oak; try a local woodworking shop?), the rest is hopefully obvious
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