Teething / Sleeping question, may be silly

So DD is 3 months this week. Before we left for Ireland she was doing 7-8 and sometimes a 9 hour stretch at night. She goes down very easy and would go right back down after eating.

While we were there she had a few rough nights where she was there we chalked it up to jet lag/growth spurt. When we got home we see that she has a tooth cutting through.

Side note- I'm also back to work since Monday

She still goes down no problem- but has been getting up 4 times a night, and also getting up earlier. Last night she didn't get up, but has been up since 530

When she gets up I've been nursing her back to sleep, I know it's more of a comfort to her (she doesn't want the paci)! Am I starting a bad habit? I normally wouldn't do this but since she is teething I feel bad that she is uncomfortable.

Also, if she is getting up way early (like today) what should we do? She is talking and gabbing away.....

Re: Teething / Sleeping question, may be silly

DD STTN at that age also but once a month for about 4-5 days at a time she would wake in the middle of the night. I figured it was growth spurts and always BFed her back to sleep... didn't worry about habits at that age. Once she hit 6 months if she did wake up (which was rare after 6 months) I tried not to BF her and either DH or I would just rock her back and she would usually go right back down.