I'm going to disagree with @liljk; there's nothing to indicate a bad battery at this point. The fact that you get a normal reaction when setting it on a wireless charger says that the phone is running. I'd want to do some investigation first, but in situations like you're describing it's generally a screen problem.
First thing to do is try plugging it into a computer and see if it's recognized. If possible, try doing a full restore of the phone's firmware to try and rule out the possibility that it's a software issue rather than hardware.
Worst case in my opinion is you have to replace the screen. Here's the iFixit guide do to that.
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