After creating a WP.com site, and right after publishing the first post, the user is getting a mail in their inbox titled: "Congratulations on your first post!".
This email has a blue button to start a new post.
We need to ensure both this link is opened by the App.

https://github.com/wordpress-mobile/WordPress-iOS/issues/11693
I thought a bit about this one and we can't deep link a standard url like https://ddancestore.wordpress.com, this would open every wpcom site in the app. We need to add something to add a parameter to the URL (and update the email template). For example in this email the link to ddancestore.wordpress.com could be https://ddancestore.wordpress.com/?from=email
Also I'm not sure what's the link on "Start a New Post" action (can you post it here?), but if it's could have https://wordpress.com/post/ddancestore.wordpress.com or something like that, it should be deeplink-able in the apps.
Last question: should all links in this email deep linked? For example our plans feature in the app is pretty bad, we should open the Web page instead.
I created a new site and posted a new post to get that email, some notes:
https://wordpress.com/post/4poniessss.home.blog (which could be deeplinked in the app).4poniessss.home.blog, for some reason, it's not linked in the email, see here. I don't know if the email template was changed. If we want to be able to catch any kind of custom domains (free or not), the link must be something like https://wordpress.com/view/4poniessss.home.blog and not a direct link.plan link redirects to https://wordpress.com/plans/, IMO it should redirect to https://wordpress.com/plans/4poniessss.home.blog and should not be deep linked in the app.From what I'm reading about Universal links in iOS, I believe the same approach should work there.
Also - the plans link should NOT redirect to the App, that's correct.
Note, it's easy to test URL intents with adb:
adb shell am start -a android.intent.action.VIEW \
-c android.intent.category.BROWSABLE \
-d https://wordpress.com/post/ddancestore.wordpress.com
Updated the issue description, we only need to ensure "New Post" deep links into the Apps.