People have been making claims like this since at least the early 90s, about TV then, and no one ever credibly claims to have worked on something like this. I've worked with purchased ad data and I've never seen this data or anything that implies that it exists. It seems far more likely that its a trick of memory. You ignore most ads you see, but you remember ones that relate to odd topics that interest you.
The other explanation is one of your contacts who were part of the conversation did things that either directly related to thing X, which you spoke about, or something the algorithm see other people do that relates to X, and you got shown ads based on your affiliation to this person.
I've also worked at FAANG and never seen proof to such claims anywhere in the code, and with the amount of people working there who care about these issues deeply I'd expect this to leak by now, if this happens but is siloed...
For this to work hangouts.google.com had to not include the HTTP header to block iframing but thankfully if you make up a URL the 404 page served on that domain does not include that http header.
It's going to happen sooner or later and people will accept it, just like they accepted training of AI models on copyrighted works without permission, or SaaS, or AWS/PaaS, or sending all their photos to Apple/Google (for "backup").