You're a good follow there.
To escape the walled garden, I've ran a script to download all posts (JS to scroll down my feed, wait for the lazy loading, click on all "more..." links, wait for the lazy loading again, everything in a loop, then download the entire thing when there are no more posts). Then ran another script to convert those to blog posts, then posted them on my personal site.
Yeah I basically did that, just with Claude Code and Playwright. It's a fickle setup, LinkedIn keeps trying to block it so there's a bunch of manual work to re-login, Claude sometimes misses a few posts, etc.
Doable but annoying.