If the alarm is as easy to trigger as pushing a single button, then issuing an update that it was a mistake should be designed for. Ideally just a couple presses, something that can be done in under a minute.
Firstly, I think you're mistaking "pushing the wrong button" with "pushing a single button". Not that we know either to be true, but anyhow..
..that's not what I asked. The EAS, EBS, DEAS, etc. they've all had issues with false alarms and operator error before. What kind of provisions and procedures for case like this do you think have been made?