Getting the burn out
It will happen, I was cooking burnt ends and got burnt ends in the pan. Not to worry cast iron is not hard to clean.
While it is usually done best when still hot, not everyone wants to clean before they eat..
If you don’t want a lot of scrubbing, add some baking soda to your pot, pour in 2 cups of water and your burner on medium. Let sit for 3-5 until it comes to a slight boil. Scrap the bottom of the pan with a metal utensil or your chain mail scrubber.
Most if not all of the burnt parts should come up, if a few are left, simply go over with your chain mail again.
wipe the bits out with a dry cloth and place on the burner on low to dry out. Add oil and rub it in.