The lesson
Show one tiny, specific result of an automation, like labels appearing on rows, rather than a full-inbox shot.
One shot is a tight crop of an inbox with an 'Auto label' button at top and tags beside timestamps: 'Hiring' twice and 'Sales clients' once, in lilac and green. The film pairs big-type promises like 'It organizes itself' with the UI doing the job.
Don't crop so far in that the product can't be recognized. Keep the claim-then-proof order and a close-up of one visible outcome.