Question about healthy fats

If my body is in ketosis and I am burning ketones instead of glucose, what happens to the fat I eat? In other words, if I take a tablespoon of coconut oil does that provide energy to my body by turning it into ketones? If so, wouldn’t I want to limit my intake of fats if my goal is to lose weight by burning stored fat instead of burning energy from the fat I eat? This is a little confusing to me. I am hoping someone can clear this up. Thanks.