Neo Store was already doing this.

I use Zotero for reading and annotating, Master Pdf Editor for editing. There is full version of Master on Aur.

By the way give a chance to Zotero. It can annotate and extract annotations as markdown.

I tried both with same question and found them both good. I’m not actively using them for now, but if they give the same results I’ll prioritize Bard. I hate Microsoft more than Google.