I thought you said there isn’t an Apple store or Apple authorize repairer? How did Apple verify your battery? What did Apple verify? What is draining like crazy? Like losing 100% battery life in 10 mins? What damage are you referring to? As mentioned numerous times, you are not providing enough information
Are you guys using the same apps? How many ‘on’ screen are you comparing to your friend? Screen brightness have big impact on battery life too.
You keep providing the same information without further explanation! How is that helping it?!?! Three cycles means nothing! It could be third party battery issue or motherboard or something that is ‘eating’ the battery or you are nick picking issue! How is adding exclamation mark help the issue?!?!
Well, ask me about anything and I will try to give as much information as I can! P.S : I verified with a diagnostic made online request to verify the status of previous battery, trust me it's official by Apple ! ;-)