Baby coughing and sneezing.

So my baby is 3m old she’s been sneezing since I brought her home. She sneezes pretty often. I try to keep my house as dust free as possible. Just a couple days ago she started coughing. It’s not a mucus cough it’s like a dry back of the though cough. She has started getting very drooly and only coughs when she is on her back. Is it her saliva making her cough? She’s not congested one bit. She does not have a temp. She’s a happy baby. She’s been feeding good as well. I’ve had to start putting bibs on her. I think she may be getting teeth soon. Thank you! I don’t want to take her to the dr because they’ll want to Covid test her and I know she doesn’t have that.