Looking for a Display for direct sunlight readable (hard sun)

With your size constraints, I suggest the reflective DOGM240N or the DOGXL240N.
I had used the reflective DOGS102N in the history. More/harder sunshine --> better display.

If price is an issue, look for transflective displays:
https://www.aliexpress.com/item/3-2-inch-20PIN-SPI-COG-256128-LCD-Module-ST75256-Controller-White-Blue-Backlight-I2C-Parallel/32818052799.html

Transflective display are not as good as reflective displays under heavy sunshine, but include a backlight which allow use in dark environments also.

Oliver