I needed to tell 3 times...
Anyway, I2C setup on breadboard is never the best approach.
Ugh, thank you all for helping. I am ordering ten more INA219s now. I am learning.
I am happy to report success finally. I switched to my Uno board and connected the INA219 to measure the LED and it worked. The INA219 is not fried. So it was either the Nano(s) or something with the breadboard. Either way I am happy for now.
Proof:
Serial Output:
Bus Voltage: 3.26 V
Shunt Voltage: 0.25 mV
Load Voltage: 3.26 V
Current: 5.20 mA
Power: 16.00 mW
Bus Voltage: 3.22 V
Shunt Voltage: 0.32 mV
Load Voltage: 3.22 V
Current: 5.20 mA
Power: 16.00 mW
So very happy.
Quite likely breadboard. No go with I2C.
You tried nanos with wrong wiring, if you retry it's probably working as well.
I would like to see it work with a Nano as well. I will try it with a virgin one. I have many.