DavideAndrea, 1 year ago I already answered your question when you asked it in Stack Exchange. In summary: You reported the wrong pitch: that's a 1.5 mm pitch, not 1.25 mm. That is a JST ZH: https://connectorbook.com/identification.html?m=NN&n=lo_prof_1r_w2b_conn_1p5&s=ZH
I already answered your question when you asked it in Stack Exchange.
In summary: