When should i put my baby to sleep and how ?

My baby is 13 weeks and usually is sleeping at 11:30pm(sometimes 12am) to 7:30am then doesn’t sleep only around 9am for a nap.Its a formua fed so isn’t waking in the middle of night to be fed.

So, moms from the park told me it’s waaay to late for my baby to sleep at 11pm and i must go early like 9 or 9:30pm, saying it’s not healthy for a baby to stay awake at 10/11pm or worse later.

Heard that i tried for a few days to put my baby to be fed and sleep by 9:30 but wakes up around 3am and wants bottle and takes a while to put back to sleep like an hour.I find it very mental exhaustion for me as i cannot sleep early myself, the day time i can’t sleep and only having like a few hours of sleep for me in 24h makes me irritated.

So is it that bad that my baby is having the last bottle of the day at 11:30pm and sleeps by 12am? ? If s-o what are your suggestions. ?

note that Since the first few days at home she slept by this time and usually slept all night used to wake up at 5-6am now at 6:30/7:30.

thanks

@amanda , no i just highlighted the fact that after such a long sleep she takes a nap after 2h approximately.she still naps during the day around 3 times of 40min or sometimes there is a 2h nap in a day along with other 40min naps