There's also a level of commitment. Robert Cialdini, one of the most prominent psychological researchers on persuasion, talks about this in his book Influence: The Psychology of Persuasion.
Human beings have a strong psychological need for commitment and consistency. If you can do something as simple as have them sign a statement agreeing with something, they're much more likely to stick to the statement later, even if they didn't really agree with strongly before. It's why gamblers will give horses even odds until they pick theirs. Once that happens, they suddenly become convinced their horse has better than average odds.
When you've not only publicly committed to something but pulled other people into it, it's really hard to back down from it.
A book that details these techniques is: Influence, the Psychology of Persuasion by Robert Ciadini. https://www.amazon.com/Influence-New-Expanded-Psychology-Persuasion-ebook/dp/B08HZ57WYN/
Read it-- the knowledge will desensitize you to so many influencing techniques. Also, it's fun to say "no" when you still don't want a thing and are bitter that the person was using one or more techniques on you.