I need a real solution to the boot loop/ error 4013 error Please Help.

I have tried 3 computers and several cables. I went to Apple and the ONLY solution was to pay for a new phone. I have no physical damage to my phone and it's slightly over a year old. The update has killed my phone and I shouldn't have to be responsible for that. I read somewhere that changing the battery can fix this issue. Does anyone know or have tried it?

I put in an order for a new battery hopefully it works.

Troubleshoot performed:

Home and Vol -

Put in recovery

Plugged into PC and MAC

Tried update and restore

Error 4013 continuously pops up

Phone boot loops and dies frequently