About waking at 5:30 AM
Half five buys a workout, a shower and a calm start before a normal working day. It is the earliest alarm that most people can hold to indefinitely without an unsustainably early bedtime, which is why it outlasts the more heroic 4 a.m. experiments.
Leave the tab open
A browser alarm can only ring while its page is open. It does not have to be the tab you are looking at, and on a desktop it does not have to be the window in front — but closing the tab or quitting the browser stops it. For anything you genuinely cannot miss, set a second alarm on your phone as a backup. That is true of every browser-based alarm clock, not just this one.