Arduino mouse ps2 for reading coordinates

Hi everyone, I bought a ps2 mouse to connect to arduino (I want to use the optical sensor) to read the coordinates, but I can't get it to work. I have an old mouse that I connect to an arduino mega and with the code described in the following link ps2 mouse to arduino it works, but the purchased mouse does not turn on. I leave you the link of the mouse in question : Datasheet mouse ps2, unfortunately I still understand little about it and maybe some of you with more experience can tell me if by chance it is a compatibility problem or if I have to bypass the ps2 connector and connect the sensor directly to arduino. Thanks in advance