Today I learned that you can cook eggs into a satisfying little puck in the microwave in about a minute:
https://eggs.ab.ca/recipes/basic-microwaved-eggs/

I cooked mine in a microwaveable coffee mug with cooking spray and salt as recommended in the article (piercing the yolk and white is pretty important, too), but just covered it with a paper towel instead of plastic wrap, then I sprinkled a little pepper on it.

It came out fully cooked after the 40 seconds on high and a 30 second rest, but I flipped it for another 10 seconds to firm up the yolk a little more. (My microwave is 1000 watt—the higher yours is, the less time you'll need and reverse for lower wattage.)
It's a cooked egg, but in a manageable puck form without any extra kitchen tools for shaping it in a pan! I'm definitely gonna be using this method for breakfast sandwiches and such in the future.

I believe this will also work if you scramble the egg in the container before cooking it, which could lead to some interesting results, but I haven't tested it.