LinkedIn links are almost always marked nofollow or ugc, so they aren’t going to pass PageRank in the classic sense. That said, Google doesn’t completely ignore nofollow anymore. Since 2019 they treat it as a hint, which means in rare cases they might still use the link for discovery or even ranking signals.
In practice though, a flood of LinkedIn links won’t move your rankings. They’re more useful for referral traffic and branding. If you see them in GSC, that just means Google discovered them, not that they’re passing authority.
If you want to be sure, view the page source on the LinkedIn post and you’ll see the rel attribute on the link. That’s the only way to confirm whether it’s nofollow, ugc, or sponsored.