Charles, a single $29-$year$-$old, deferred $2\%$ of his salary of $$100$k$,$ or $$2,000,$ into a $401($k$)$ plan sponsored by his employer during $2023.$ Which of the following is true regarding IRA contributions Charles can make?

Question $8$ options:

Because he is an active participant, there is no AGI limit as to whether he can make a deductible IRA.

Because he is an active participant, he cannot make an IRA contribution.

Regardless of his active participation status, he can make a full contribution to an IRA.

Because he is an active participant, he can only make a Roth IRA contribution.