For you personally, to solve this issue in particular? Use Firefox. Google is evil, and there's a good chunk of the Chrome team who are actively enemy combatants.
For the broader issue of not wanting to give even the information you'd need to choose to share to LinkedIn? Network the good ol' fashioned way: talking to random strangers in San Francisco bars.
Everyone involved in Chrome's most questionable decisions such as Manifest V3's anti-adblocking, the Topics API, etc, are not just working orthogonal to the people's interest, they are directly working against it. I couched my statement down from the entirety of the Chrome team because I hesitate to label "making constant, marginal feature additions that ultimately result in anti competitive behavior" openly malicious.
Everyone from the suit that made the ultimate calls down to the lowest code monkey who bugfixed such features are responsible for their choice to target the good, common user of the internet. I'm not asking for altruism, I just think people shouldn't choose to do evil, and that those who do anyway should be recognized as such.
For the broader issue of not wanting to give even the information you'd need to choose to share to LinkedIn? Network the good ol' fashioned way: talking to random strangers in San Francisco bars.