I would suggest that you go to at least 600 grade otherwise you will see all of the sanding marks from the 240. You probably wont be able to 600 in a normal paper but you can in wet and dry paper.
Make sure to wet the stock now and then as the wood fibres will lift and you will need to sand it again until it really feels smooth. Use meths to wet it as it evaporates real fast unlike water
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