بسم الله الرحمن الرحيم
(Fatwa: 338/252/SD=3/1439)
Agha Khanis are out of the fold of Islam due to their false beliefs, they have no relation with Islam. Hence in the question mentioned above, if the said girl belongs to Agha Khani sect then you should avoid eating with her and should not eat in the same plate at all. You should mind your task and should not develop friendship with a Shia girl. There lies the safety of religion and the world.
Allah knows Best!
Darul Ifta,
Darul Uloom Deoband
