I've experienced that after the update, to fix it, what I did, is to enable each content type into the container configuration to get it working again.
IMO, this should work in the opposite mode, by default all content types should print the gtm tag, and only use the config to exclude the ones we want to not use gtm.
I've experienced the reported issue after upgrading to 10.x, to fix it I've updated the entity browser I was using, on the Widgets sections tabs, I've removed the embed code one and added a new widget for Entity form
In that way we gonna start using the Drupal 10 default remote video instead of a third-party one.
See the attached screenshot for a reference.
I hope this can help.
I hope this can help, In my case, I've experienced that issue after upgrading to 10.x and I've fixed it with a configuration change.
Go to the entity browser configuration page (admin/config/content/entity_browser), select the entity browser you are using in your field, got to the Widgets Settings tabs. ensure you use the default media browser widget provided by the module and not a plugging from a third-party contributor (In my case lightning media)
See attached screenshot:
Here is a modified version of the patch that works for 8.x-1.13, / D9.x.