Don't worry - the following procedure will not delete your game save data. Clear your console's cache by doing the following steps, please:

1. Turn off the PlayStation 4 by pressing the power button on the front panel. The power indicator will blink for a few moments before turning it off.
2. Once the PlayStation 4 is off, press and hold the power button. Release it after you have heard two beeps: one when you initially press it, and another one 7 seconds later.
3. Connect the DualShock 4 controller with the provided USB cable and press the PS button on the controller.
4. Choose "Rebuild Database".
   

For the PlayStation 5, perform the following, please:

1. Switch off the console, but do not enter the Rest Mode
2. Wait 20 seconds
3. Unplug the power cord from the back of the console
4. Wait about 1-2 minutes
5. Plug the power cord back into the console
6. Turn the console back on
7. Launch DYING LIGHT 2

Additionally, make sure the game's been correctly installed with all of its updates, please.