I couldn't find any specific information about ESPHome integration for the CST328 touchscreen controller on the Waveshare ESP32-S3-Touch-LCD-2.8 board

There's a possibility that an ESPHome integration for this specific combination of components might not yet exist.

Board: ESP32-S3-Touch-LCD-2.8
Characteristics:

Controller: ESP32-S3
LCD Type: TFT
LCD Controller Display: ST7789
Touch: CST328