Plex refers to the analysis to generate the requiredBandwidths entries as Deep Analysis. This runs during the maintenance window scheduled in Settings → Scheduled Tasks.
You can force a manual reanalysis via the command line.
"C:\Program Files (x86)\Plex\Plex Media Server\Plex Media Scanner.exe" --analyze-deeply --item 173156
Details are in Plex Media Scanner via Command Line.
The item number is listed in the XML information for each movie/show/etc. Example: ratingKey="173156" from the XML you provided for The Hunger Games: Catching Fire.
Deep Analysis may take several minutes to complete. If it returns quickly (under ~5 seconds), then it did not run correctly.
You can then re-pull the XML information to look for any changes.