Which hemostatic agent is used primarily to control capillary bleeding from within extraction sockets?

The answer is Topical. Hemostatic agents are then design to promote blood coagulation in cases of any traumatic wound in the arterial blood. They are now used in EMS to save lives especially in motor vehicular accidents, in the workplace or even at home then.

Only algae, oak trees, and bermuda grass produce atp by photosynthesis i am almost positive

Mitochondria produce atp, a high energy compound. atp is used for all sorts of enzyme-mediated reactions, such as making proteins/nucleotides/etc, certain compounds cross the cell membrane, muscles move, etc.  without this source of energy, a cell will die. it will not be able to repair itself, defend against pathogens, etc.