Note 3 VZW with T-mobile sim card attached .Need KitKat update

[Elijah Watson1]

Hi everyone iam hoping some brighter minds can shed some light on my problem.I have a Note 3 from VZW with a T-mobile sim card in it .Everything works fine except getting LTE speeds.I currently running 4.3 in it and i wanted to get the 4.4 kitkat .I tried OTA and it doesn't work .I even tried butting it in the CDMA format in the mobile networks that doesnt work as well.I even tried using Kies and that doesn't work .Is there any other way to get this update? PLEASE HELP