French, 15th century
Persuade (someone) to do something by means of deception or flattery. Gain entrance to (a place) by persuading (someone) with deception or flattery.
Inveigle is a verb that can be used with an object – “She inveigled him into giving her a better table.” Or it can be used in a sense specifically related to gaining entry to a place – “He inveigled himself into the meeting room.” Either way, there’s some trickery afoot.
You might claim that you made a good case for your request, but if your persuasion involved deception or flattery, you need to learn the verb inveigle. It comes from an Old French verb “aveugler”, meaning to blind. Just don’t turn a blind eye to your true motivations.
Example: I feel the most conservative members of the U.S. Supreme Court inveigled their way onto the bench.