You will need to build integration through Zapier, Integromat, if possible. Else build or ask somebody to build a pack for you, IF Obsidian has an API that can be used.
As an Obsidian user myself, I think @Piet_Strydom is pointing the right direction here : I don’t think the problem comes directly from Coda per se but when embedding a doc in an Obsidian note, whatever the sharing options are, the embedded doc is indeed in read only… and I can only guess that’s because the embedded doc can’t link that doc to a Coda account (as it’s completely outside of Coda and Obsidian notes are just plain .md files stored somewhere on a hard drive).
Obsidian has an API so I think having an Obsidian plugin maintaining a link between a Coda account and embedded docs (through a Coda API Token) could help here, potentially …
Not being a dev’ I can’t tell if any of this make sense though … This is just how I understand the issue
Thinking about what I’ve said before, I’m not even sure an Obisidian plugin would be helpful though …
I mean, I’ve never tried to embed a doc anywhere else than here, in the Community so there might still be restrictions on Coda’s side on how embeds are managed into the wild …