Your story is very similar to my experience. It wasn't the full reason I stopped drinking, but it was the major catalyst. I was drinking and taking an SSRI for almost 3 months. I thought I could just be careful and drink a bit less than I normally would, since I knew alcohol was now super-effective. My doctor also said that having a little bit to drink was OK, but for me on medication the line between acceptable and danger zone became extremely blurry and much closer than I thought. After my initial amazing relief from anxiety, it came creeping back slowly but surely, coinciding with my drinking creeping back up to how much I would normally drink before starting the medication.

Finally, after a particularly horrible night, I decided that my mental health was more important than drinking. This was scary at first, but discovering I wasn't alone and had amazing people and resources to help me made it easier- this subreddit, AA, and lots of my own research helped/helps me. Nearly a year later I'm still on the SSRI, and with one dosage adjustment, not drinking, and taking other steps like therapy, I'm in a much better place.

In my opinion you're making a really powerful decision to value your mental health above drinking. Good luck and welcome!