My father in law once made, what he called, “ fireplace or hobo coffee’
He’d take a large tomato juice can and fill it with water.
Then he would put it on a outdoor grill full of hot charcoal.
When the water began steaming he then would put a couple of table spoons of coffee right in the water.
As the water heated he then crushed a whole egg, shell and all and put it in.
When the coffee came to a boil whereupon he’d take it off.
He would do this 3 times.
Each time he would stir the pot.
After the third boil up he take it off the grill and add a half cup of cold water to settle the grounds.
I can honestly tell you it was the best cup of coffee I ever had, bar none!
You may want to experiment with the right amount of coffee to suit your taste. it was never bitter and the secret was to never boil the coffee for long....as soon as it starts to boil, remove.
With the egg added (yoke and all? really?) that's exactly how "Turkish" coffee is made. Very fine grind, dumped in, just boiled...3 times.
The Turkish/Arab coffee pot design has a wide bottom, so as to catch the grounds in the bottom when you pour.