Is it normal for her to do this?

Nancy

So my 3 month old has been sticking her tongue out, biting down on it, and also sucks/chews on her hands. She's been eating less than usual and prefer boob more than her bottle. Her tongue is a bit white but no patches. It just looks like a milk stain.

My nanny assumes it's some sort of virus, and I think it's just because she's discovering her hands/tongue therefore she's constantly playing with it.

Has your 3 month old done this? If so, what did it turn out to be?