That cup of coffee counts towards your recommended daily water intake

Nope, sorry. Anything that dehydrates you (such as caffeine), can't count towards your daily water intake. In fact, if you're drinking caffeinated or dehydrating beverages (like alcohol), you need to drink more water than your recommended daily amount(one common formula is 1/2 of your body weight in ounces, so a 200-pound person would need 100 ounces of water daily), to make up for the dehydration.

According to Daniel Amen, MD, author, and well-known brain researcher, "anything that dehydrates you is bad for the brain, such as alcohol, caffeine, excess salt or not drinking enough fluids."