Temp gauge issues

A few questions to troubleshoot:

Are other gauges reading correctly?

Does the gauge stay pegged all the time, or just with the ignition on?

If you unhook the wire on the sender, does the gauge drop to zero?
All the other gauges work it’s just that one and it stays pegged even when running. I just went out there and unplugged it from the sender and it went down to 0 this is the factory gauge