Influenced to some degree sure, weather influences me to some degree, but I truly feel like ads aren't affective on me. Unless we broaden definition of ads to something like sponsored content. I have bought some TTRPG rules sets after I have seen them being played in a sponsored video, but I still have never clicked an ad on a page and bought something.
And I actually have tried to use ChatGPT to buy something. I have asked it to search for specific items from EU stores so I wouldn't need to pay import taxes, but usually it fails. It either suggests Global stores which ship from US or China or it suggests different products than what I asked for.
If ChatGPT or whatever LLM I was using could actually link me the products I wanted without me searching for them they should get a commission for sure, but we sure aren't there yet.
Sponsored content is definitely a form of advertisement