AhsanAllahu Ilayk Shaykh, in duroos muhimmah it is mentioned that wudu must be done continuously without any breaks. The example of picking up the phone during wudu was given (if the body part if still wet then you can continue.) Would this example be considered cutting off the intention for wudu?

Ustadh AbdulAziz al-Haqqan

No, because cutting off the intention is to change your intention. They are no longer making a goal, so you broke it like that.