For $2023,$ Rbecca, age $52,$ has $$5,972$ of net self$-$employment income from her pet grooming business. One$-$half of her slef employment tax is $$422.$ What is the maximum amount that Rebecca may contribute to a traditional IRA?

$1.$ $$5,500$

$2.$ $$5,972$

$3.$ $$6,500$

$4.$ $$7,500$