There are two movies on themoviedb.org that have the same title and release year:
When naming the file, (saved on a Google Drive share) is there anything else I can do to ensure it picks up the correct film metadata?
If you can use the edit metadata feature and select the correct one that correction will be backed up to iCloud and remembered so you won’t have to do it again.
Edit to add: I see that you have added info to themoviedb so it may take a few days for them to approve it and include it in the database.
You may want to add an alternate title like “King (US)” that may help on the searches if it doesn’t show in a few days.