Can I start working on this? I have gone through this https://www.kali.org/docs/development/public-packaging/ but I guess you have to be assigned to before working on a issue.

@kali-team, please could this be packaged up.
@author, If you want to help the packaging process, you can check the documentation here ~ https://www.kali.org/docs/development/public-packaging

Despite how much I'd love to see Obsidian be packaged, because it's closed-source, this is not possible.

This is evident from their GitHub repo: https://github.com/obsidianmd

I recommend this ticket gets closed, as there is nothing we can do (unless Obsidian goes open source).