The redlines are a give-away for mastitis. Mastitis feels really horrible It's great that you got onto abs so quickly.
As well as the abs, it's best to keep up the other things to help clear the blockage. You have had some great suggestions - the only other ones I'd add are to feed on all fours - this way gravity helps you, and to try different feeding positions so that your baby's chin can help work the lump out.
Your supply won't be affected - the frequent feeding will be good for your supply. It might seem as though your supply is low as the blockage could be affecting the milk coming out. The best thing you can do is just keep feeding and trying to clear the blockage.
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