2.4" TFT touch display partially works

Your link shows a readable photo.

I can read mcufriend.com (ili9340) on one photo and (ili9335) on another photo.

Install/Upgrade MCUFRIEND_kbv library from the Library Manager.

It supports ILI9340 and ILI9335. As well as about 30 other controllers.
There is a "diagnose_TFT" sketch.

David.