Shouldn't it be आयेंगीं , since it is plural?
आयेंगीं is not a conjugation, the singular is आएगी and the plural is आएंगी, आएंगी is already plural.
It's showing the plural feminine as आयेंगी
Yes both are correct ways of saying it. Singular = आएगी / आयेगी, plural = आएंगी / आयेंगी. I prefer to use the first form but both are correct.
Thank you very much for this explanation. I was really confused about ये or ए