How do I get out of the Authenticator verification code

What does “get out of” mean?

If you’re asked for a code to continue something, you can’t simply decide “This doesn’t apply to me.”

If you mean something else, please describe exactly what you’ve done, what you’ve been asked to do, by what application, etc.

See especially the next-to-last question near the bottom here.

Two-factor authentication for Apple ID - Apple Support

I am guessing you’re asking about two-factor authentication. You haven’t really spelled it out, so maybe I’m wrong.

Read the article I linked above. Of course, you haven’t told us your exact scenario, so we don’t know how to apply the various ways it might be used to your particular issue. But the article explains a whole lot.

Sorry to learn about your son.

As the above reference states, unless you just established two-factor authentication (within the last fourteen days), it cannot be removed.