Hi i guess the main prob that she is not getting trained is that you give in to her which is a major mistake.
Since she is already 2 and a half mths old, she should be learning to drink on her own.
dont't rush things, let her learn one thing before the other.If you train her to do many new things at the same time, this will be big changes to her life and would feel quite insecure.
Decide if you want to train her to drink on her own or let her sleep on her own.T
Train one .. then the other.
If she refuses milk, supplement with other stuff or put the milk into cereal(cos you can't starve her for the whole day) but when you make milk and she refuses to drink dont't give in to her drinking from you.
Another way is to pump the milk and let her drink from the bottle at least the taste is the same.Slowly, change to formula milk