Chosen Solution

I have a refurbished MacBook Pro that will only turn on when plugged in. It says it has 100% battery, but dies instantly if the power cable is unplugged. I have tried resetting the SMC and PRAM. I’ve included a screenshot of coconut report and the system information for the battery:

Battery seems to be faulty, there are 2 values well out of standards: voltage is not supposed to be 5v. but 8v. There’s some tolerance downwards but 5v. is much too low to keep the machine up and running.Capacity is suspiciously on the high side. As you can see it reads 16,400mAH. A typical value should be around 12500mAh. I can understand some seller might set theorical capacity a bit higher, but this seems a bit too much. However, even if we take capacity off the picture, voltage on its own says it all.