Put (one's) name in the hat verb phrase
Suggest someone or oneself for consideration in a selection, such as a competition, application pool, election, etc.
I put her name in the hat for the most beautiful girl in school.
I'm talking to her about putting my name in the hat for the upcoming council election.
You can simply put your name in the hat for a chance to win by answering the question below.
The verb "put" must be conjugated according to its tense.
From the informal practice of placing votes in a hat and then randomly selecting one vote from the hat to decide the winner. One would be able to compete if one put one's own name on a vote in the hat.
If you swallow the bait, you take something that someone offers you, or agree to do something that someone asks you to do without knowing that it is a trick or way of getting something from you.
You can't just do whatever he wants you to do. Don't swallow the bait.