American Airlines question..

Im a non american travelling on American Airlines soon.

Now, I have a simple question about carrying something onboard and have checked their website, contacted them… but there doesnt seem to be a confident answer at all.

So, I know alot of you are American and I thought I’d try here:

Can I carry a razor for shaving and a bikini/eyebrow trimmer on my carryon (has plastic cover)?

This is what I’m talking about:

Im not sure why theres no straight answer LOL. I am not checking bags btw.

Thanks to anyone who might know :)