The Bible record reveals many exceptions. Israelite warriors were not violating the covenant when they killed an enemy and those who unintentionally killed someone were not automatically put to death. Exceptions were made . What if someone literally cut themselves and started to shed blood. Such an interpretation is non-sensical but it does help to point out something that is often overlooked.
Blood is a symbol of life and and is being used as a metaphor .
To understand it's use in any other way simply doesn't make sense. But you shall not eat flesh with its life, that is, its blood. The answer may surprise you. Remember, blood is being used as a metaphor for life. This sounds peculiar to us but was a common practice in the ancient middle east to eat an animal while it was still alive and this is still practiced in Africa.