Is this normal ?

My daughter is about to be three months old since she was born she had her days and nights mixed up and I literally was up all night the first 6 weeks she was born and she would sleep on and off all day long I was scared that she was always gonna be like that so I decided to start her on a routine a little earlier then normal and so around 7 or 8 weeks I started to during the day let her sleep when she fell asleep towards the morning time but when 4pm hit I decided to basically when she fell asleep I would let her sleep for about 30 min then pick her up and play with her give her tummy time and so on every time she fell asleep around 7 I would go for a walk with her in the stroller and she would be wide awake then I would come inside and have her play on her tummy then around 9 I would bathe her and let her relax in the tub she loves the water. Then as soon as I get her out I would feed her a warm bottle with a little bit of cereal in it and then swaddle her she would go right to sleep from about 10. But here is the thing she sleeps from about 10pm now until about 9 am now I’m not complaining but I’m wondering if this routine I shouldn’t be doing since she sleeps for so many hours at night ? Help