Overheating problem

So my car has overheating problems in
both idling and while driving. I have
changed the thermostat, thermometer
gauge sensor , flushed the radiator with
cleaners and put new fluids in it. I also
directed wired FAN 1 to the ignition switch
so when the car comes on, so does the
fan. When I bought the car the fans won’t
turn on until 3/4 on the gauge and I believe
that it’s still bad for the car. There is no
leaks in anything, fluids are clean. Only
problem I think is that the water pump isn’t
working, or maybe some electrical issue?
Or maybe I should try thicker engine oil. I
live in Arizona so the heats are 110 here.
So even when driving at a calm slow pace,
the gauge are between the halfway mark
and 3/4. So Any answers are welcome.
Thank you