I am an eBay camera seller. I have used a pair of Sony a6000 Mirrorless digitals for my listing photos.
I got this about 5 years ago. It did have a shutter error 4 years back and I got it serviced, then I put it away and used my gray model.
The error: "Turn off and back on" message has come back.
No battery, no returns accepted on this.
You may already have repair skills, I am too old to see small parts.