Fred and Lucy are married, age $33$ and $32,$ and together have AGI of $$120,000$ in $2023.$ They have four dependents and file a joint return. They pay $$5,000$ for a high deduticble health insurance policy and contribute $$2,600$ to a qualified health savings account. During the year, they paid the following amounts for medical care: $$9,200$ in doctor and dentist bills and hospital expenses, and $$3,000$ for prescribed medicine and drugs. In October $2023,$ they recieved an insurance reimbursement of $$4,400$ for the hospitalization. They expect to receive an additional reimbursement of $$1,000$ in January $2024.$ Determine the maximum itemized deduction allowable for medical expenses in $2023$