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This disease can be controlled, but regarding the cure, everything seems to be unpredictable. Such disease usually subsides on its own in due course of time.
He has prescribed you the right medication for it, but regarding your hair fall treatment, Finasteride 2.5 mg is not FDA approved for androgenic alopecia. Only 1 mg is recommended for androgenic alopecia.
Since Finasteride carries the side effects of erectile dysfunction, I would suggest you decrease the dose to 1 mg because once you have started the treatment of androgenic alopecia, then you need to continue it for life time.
There is no problem in taking both medications together.
For further doubts consult a dermatologist online --> https://www.icliniq.com/ask-a-doctor-online/dermatologist