I installed it and had a play, but Anytype is nothing at all like Obsidian. The main feature of Obsidian which sets it apart from other PKM software is that it runs from plain-text, locally stored Markdown notes. The benefit of this is that in 10 years or 100 years, notes stored in this format will still be accessible and useful, regardless of what software is used to manage them.
Anytype looks like a more privacy-focused version of Notion.
Zettlr and Logseq are the only Obsidian-like replacements that I'm aware of.
Run the web hosted version of VSCode:
https://github.com/coder/code-server
And use Dendron on top of that:
https://www.dendron.so/