You'd better not eat before running in the morning, because after eating, your stomach will consume energy to dissolve the food you eat. At this time, if you train, it will bring more burden to your stomach and make it supply your needs twice as fast. After a long time, the stomach will droop. And after breakfast, the pituitary gland will secrete a hormone that will make you want to sleep.
If you really want to eat something first in the morning, don't eat a lot, such as an egg, but train for half an hour, or you will vomit or have a stomachache.