Power steering/electrical issues

Purchased a 2013 mazdaspeed 3 about 6 months ago, bone stock. No crazy issues but today when my headlights turned on, my radio shut off for a moment and my power steering went out. Happened again a couple times during my drive, once again tied to the headlights turning on and once as I was making a turn. Tried reversing into a spot and my radio shut off and power steering light was back every time I turned my wheel. Checked my battery terminals and they look good, and the battery is fairly new. Has anyone else experienced this and found a solution? I know a new pump is $800 and would like any other troubleshooting if possible lol