2018 25hp keeps stoping

[Inthezone]

Long story motor will start when it cold or hot. But I think it run longer when cold like 3 min at full speed and maybe 30 second to 1 min after I get it started again at first I thought it was a fuel problem. So I changed fuel filter fuel pump tank and hose from the tank to the motor and no change if anyone has an idea please let me know. I brought the motor to the dealer now and it there a week. And they can’t find the problem yet. There is one thing I’m wondering. Before the motor started this problem I noticed when I would start the motor and drive ahead the motor would cut same as when the water inlet was plugged with grass in the pass. All you do is back up the grass would leave and the pump would start working. But now the water was allways coming out. But it was acting like it was plugged Water allways comes out the little hole. But not strong Question Can a weak water pump cause all this trouble and make the motor think it’s heating. And jest stop it like it’s running out of gas. Thanks for reading