Honestly I thought that too but babies have different associations with different people . My son sleeps on his own like an angel at daycare but needs thirty minutes of boob when he is with me to put him to sleep.
i had the same problem, i bought a boppy pillow, and she absolutely loves it! i can set her in that while she’s awake, and she falls right asleep
I thought the same as I cosleep with mine too but when she goes to my moms they put her to sleep in the pack and play no problem 😊
You could start with either getting her to sleep on you then put her in her bassinet so she gets used to not sleeping with you or you could swaddle her and put her in her bassinet that way she still has the feeling of being near you but she also gets the feeling of her bassinet x