I asked the above questions because the most common cause of this issue is an internal battery that has discharged, which causes the loss of the "touchscreen calibration data". That is what makes the calibration routine appear.
Also, I meant to ask "What Happens" when you "played press the dot"? Did the dots MOVE to a different location on the screen - each time you touched one? If so, that is a "good thing".
One other note: It is recommended that a "stylus" or the eraser end of a pencil be used during the calibration routine. This is because it is more ACCURATE than a finger tip, and give you a better chance of completing the routine quickly.
As are reference, I also have a link to a video that shows how this process can be done, or even forced to be done. Please take a look and try this one your own device, and let me know what happens.
I look forward to your results.
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Thanks, ***** *****