There are patch-plugs that are both in one. I don't know if they are all rubber, but that would be the assumption. They are great for the center area, but I'm not sure about the corner. Rope plugs have saved me on many occasions. I used to carry them I had so many flats. Weirdly, it's been a looooong time since then. I can't remember my last true flat. I came close with a leak from a screw, not flat..
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