since nothing to lose, check for under mother board, digitazier coonector and grounding
also it could be part of digitzer connector broken in your case, ive seen another picture on other fourm showing little terminal broken coming from the top front glass but it was due to hard bending on jeans pocket
also there is a little terminal down going to the button to the three buttons
you may push those areas firm ( the down area not the top since still working ) to check if any response , in that case it will need new front glass
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