You can deregister/unregister the previously installed app from your old mobile device by using the OneCard (OneWeb) / TouchNet Dashboard. (the link requires login with your mySUNYOrange credentials)
*** This link can also be found in the MySUNY Orange Portal > More App > Click letter "O" > OneCard OneWeb or MySUNY Orange Portal > Student Services Resources Tab (Left Blue Bar White Icons) > Student Resources Section > ID > Manage Virtual ID (OneCard OneWeb)
After accessing the OneCard (OneWeb) / TouchNet Dashboard
Click the "Manage Campus ID" link as shown in the screenshot below:

After unregistered, you should be able to Log in on the newly installed TouchNet360u APP on your mobile device.