is it normal to start period five days early when i start a new pill brand?

it’s been going on for 3 days now and i’m paranoid

Breakthrough bleeding is a side effect of the pill unfortunately. Did you read instructions on how to switch between pills correctly? It should be in the pamphlet. If you're worried about pregnancy, you can always take a test to be sure.

Yes you’re now in the 3 month adjustment period of a new pill, and during that time it’s particularly common to experience side effects, such as irregular bleeding

You can bleed randomly at any time when using birth control