I recently bought my iphone 13 last March
Apple and authorized Apple dealers stopped selling the iPhone 13 in September 2024, so you likely bought a used or refurbished iPhone 13.
If your phone was "new", it sat for at least 4+ months in a warehouse, which would not have been good for the battery.
Battery decline is not linear, so a battery can go for 3-4 months and not drop at all, then drop 3% the next month. This is normal.
Over longer periods of time, the battery will decline on average at about 1% to 1.5% a month. So after 5 months, you could expect the battery to be at about 92-95%.
Your battery is operating in the normal range (and better than mine). The battery is going to do what it is going to do. It won't help to try to babysit the battery or check the settings all the time.
If you are not convinced, make an appointment at the Apple Store / Genius Bar or take the phone to an authorized Apple service shop to have the battery checked and tested.
Chances are, they will say that all that you really have to remember to do is replace the battery when it is down to 80%.