Come out in(to) the open verb phrase
The verb "come" can be replaced by the word "bring."
To tell something to the public and no longer keep it secret.
My feelings for Alexa have never come out in the open.
After many suspicions regarding the CEO's corruption, the truth has finally come out into the open.
White lie
To make someone learn something by repeating it many times
To let a secret out by accident
To talk freely and unintentionally disclose private information or secret to others
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.