For me, yes its too young.
She may still have the "startle reflex" which babies have. It is involuntary. They cannot control their appendages and have NO coordination or motor-skills, so it wakes them.
Also, at "growth-spurts" they wake too. 3 months old WAS a growth-spurt period. At growth-spurts, their intake needs increases and the frequency of feedings too. AND babies also go through "cluster feeding" which means they need to feed even every single hour.
So you must, go by the baby's cues, for hunger.
It is NOT set according to a 'schedule.'
Sleep, in babies, is not finite nor static.
It always changes, per their growth-spurts, developmental changes, age, changes in cognition and hitting milestones, teething, and many things.
That is why, their sleep patterns changes.
For the 1st year of life, feedings are important, and needs to be on-demand, 24/7, day and night. This is also per our Pediatrician.
It is a building-block time, for nutrition. Breastmilk/Formula, is not replaced by 'solids' or other liquids or a Binky.
When they are this young, sure, they maybe are using a binky. BUT they do not have the coordination to put it back in their mouth, when it falls out. Its normal. AND also, having the binky in their mouth... can also prevent the baby from getting a feeding. Which they may need. Not needing the Binky. So, I would give her a feeding. Going all night, without a feeding and during growth-spurts, makes a baby hungry.
So, make sure if it is the Binky or if she needs a feeding.
To me, she needs to feed.