Unfortunately, I don't have a Brightcove player to test this myself... have you tried opening a ticket with Client Care? This extension seems to be built by Adobe, so they should be able to find the correct people to get the details of the failure to....
I wish I could be more help.. but missing resources for an extension sound like a pretty major thing that they should be aware of...
One more thing... just a thought... do you have any "blocking" extensions on your computer? Or are you on a work network / VPN where there could be rules to block specific domains?
I am just curious if the missing resources are being blocked on your browser (either by an extension or by a network policy?)
I have an issue with the gtag extension... one of the CSS resources is blocked by my work network for some reason... this causes the extension to time out when I open it... I had to actually use a tool to point the file somewhere else (to an empty file) to get the UI to load... but thankfully, since it only impacts styles in Launch (and not functionality) this works... but you are missing actual functional files! It might be a good idea to just confirm before contacting support....