Completed the repair according to this tutorial. It was easy until connecting back the front panel cables. So if possible do not attempt to remove the cables and just hold the screen tilted until you are done with the battery. I had to spend +10 minutes to reconnect those cables. Removing the battery needs work though, so you have to be extra careful not to puncture or damage other components. Also I encountered the "Searching" bug, I tried turning on and off, later flight mode on and off but changing the automatic setting of timezone and manually adjusting the date/time did the trick. 24 hours passed since the repair, no problems yet. Battery did fine job. So I shall thank everyone contributing this guide.
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Here's a preview of what the graph will look like:
No reputation gained yet.