Whitening strips will technically work around brackets, but you're setting yourself up for a visible problem. The strips can only reach the exposed parts of your teeth, so when you get your braces off in a few months, you'll have a line of darker tooth where the bracket was sitting. It's basically asking for two-toned teeth right when you're about to show off your straight smile.
The brackets and bonding won't get damaged, that part's true, but the real issue is timing. Most orthodontists recommend waiting until after the braces come off to do any whitening. At that point you've got a clean slate, and you can whiten everything evenly. You're only 8 months in - depending on your treatment plan, you might not have that long left anyway. If you're looking at another year or more, sure, the yellowing is annoying, but I'd just push through and do it properly once the hardware comes off. Your future self will thank you for having a uniform result instead of ghost rectangles on your front teeth.