Login doesn't work when dynalist is embedded using <iframe />

Trying to embed this wonderful app on a webapp using <iframe />

Used like this:
<iframe width="100%" height="100%" frameborder="0" src="https://dynalist.io/d/<PROJECT_ID>" ></iframe>

It seems to be rendered perfectly but I’m stuck on the login page.
I use the Google login flow, and it always instantly comes back to the login page, even after a successful login.

I have 4 similar warnings in the console that might not be related to the bug:

DevTools failed to load source map: Could not load content for https://dynalist.io/assets/<ASSET_NAME> : HTTP error: status code 404, net::ERR_HTTP_RESPONSE_CODE_FAILURE

Tried on Opera and Chrome, same behavior

It would be awesome to embed this app in another app !