Sleep regression help

My five month old just got her second tooth. She used to sleep through the night to at least 4 am or 5…sometimes 6 on a great night. However, the past two weeks, she’s been getting up around midnight and then around 3:00. I try to comfort her and get her back to sleep but she cries uncontrollably until I give her a bottle. So, instead of almost making it through the night with one feed, she’s now waking a couple times to feed. Is this just the teething phase? Is me giving her a bottle every time going to get her back into the multiple feeds every night routine? Help! And thanks!