Apple association file fetched in development but not in TestFlight and App Store

Universal links work perfectly fine in development, but once I sign the applications and deploy them to TestFlight and App Store, it looks like the apple-app-site-association is not fetched and therefore the app isn't registered for oppening the universal links.
1. /.well-known/apple-app-site-association file:

{
  "applinks": {
  "apps": [],
  "details": [{
  "appID": "myteamid.com.mycompany.appName",
  "paths": ["*"]
  }]
  }
}

The server part looks OK, since it is successfuly fetched whenever I run the app via the cable on my phone.

App Search API Validation tool returns this for Link to application:

2) Capabilities:

Associated domains - ON with Domain list of:

applinks: link.mycompany.com

Other things I have turned on are: Push Notifications and Background Modes.
3) Provisioning profile:
I created a new one after adding the Universal links and Push notifications and it includes:
Capabilities:

Associated Domains,

Game Center,

In-App Purchase,

Keychain Sharing,

Push Notifications.

Entitlements:

get-task-allow,

app-enviroment,

com.apple.developer.associated-domains,

com.apple.developer.team-identifier,

application-identifier,

beta-reports-active,

keychain-access-groups

4) While installing the app, it behaves different in test flight then it does when loading via cable:
a) Via cable I can see the successfull http request for the apple-app-site-association file and finally form the process swcd:

"Added service 'applinks', appID 'myteamid.com.mycompany.appName', domain 'link.mycompany.com' "

b) Test flight - when installing there is no sign of http request and the following line is shown if I previously had the app installed via cable:

"Removed service 'applinks', app ID 'myteamid.com.mycompany.appName', domain 'link.mycompany.com' (removed domain) "

This of course results in the fact that whenever I install the app via TestFlight or Describution, the Universal links do not work.

Any ideas where it goes wrong?