Help Extract Animals from Red Tape Act of 2018 or the HEART Act of 2018 This bill amends the federal criminal code to modify the notice period in civil forfeiture proceedings that involve the seizure of an animal involved in animal fighting. It requires the government to send notice of the seizure to interested parties within 30 days (currently, 60 days). The notice period may be extended only if a delay is warranted after considering certain factors, including the cost to the government of providing shelter for the animal, the health of the animal and the effect of a delay on its rehabilitation, and any increased risk that a delay could necessitate euthanizing the animal. The bill amends the federal judicial code to authorize the Department of Justice to use amounts from the Department of Justice Assets Forfeiture Fund to pay for costs associated with a seized animal, including transportation, shelter, care, veterinary services, and humane euthanasia.