Car overheating but no visible coolant leak

Hello,

Are you seeing any smoke out of the tailpipe?
Check your oil make sure it is the normal brown color.

Try this: When the engine is cool, open the coolant reservoir cap.
Add coolant to the "Full" mark.
Start the engine, if the coolant level goes down, slowly add coolant.
This way as the coolant will circulate thru the engine and get all the air out.
When the reservoir reaches its "Full" level, wait for a little bit to see if the level goes down. If it does not go down squeeze the radiator hose (be careful not to come in contact with the cooling fan or any other moving or hot object), this will let out any remaining air in the system.
If needed add more coolant. Put the cap back on the reservoir.
Then observe to see if the coolant level goes down again on the next time you drive/start the car.

You might find this article helpful:

https://www.2carpros.com/articles/symptoms-of-an-overheating-engine

Please let me know your findings.

Thank you.

If the compressor is seized or have a faulty clutch it could prevent the belt from turning the water pump properly, which can lead to overheat.
Does your A/C work properly? Do you get any noise when turning on the A/C?

It could be that the compressor is seized, so when you turn on the A/C the belts functionality suffers. See if you can observe when the compressor, if you see that the pulley is not spinning properly with the rest of the pulleys then it is the compressor that giving you the overheating issue.

The coolant from the factory is pink/red.
Can you see where it is leaking from?
Is it towards the front or back?