If your eggs keep burning, lower the heat. It will take more time but a slow, long cook on low heat will ensure minimal burning.
Some browning on the bottom and sides of the pot is normal. As long as it doesn’t taste bitter or affect the final taste, that’s ok.
Please note: Every stovetop is different. Over the years, I’ve found that burner size greatly affects the final outcome. Some burners heat faster and stronger than others. You may need to experiment in your kitchen. If one particular burner results in burned eggs, try a different one.