I guess something didn't translage well? Let's try again.

Use a large sewing needle or a sharpened spoke made into a long tapered needle and poke around in the hole until you feel something hard that scrapes against the needle. Use the needle or sharp spoke to lever it out.

Try to be as gentle as you can to avoid more damage to the tire but you need to find the piece of rock or glass that caused your two flats and remove it.

It's sort of like digging at a deep sliver in your hand. You want to do as little further damage as possible but it's GOT to come out.