For drivers details to be assigned against the correct vehicle, they need to perform a task which then automatically updates within the RAM Assist interface. You can't update driver details against the vehicle in RAM Assist itself.
The vehicle assigned to Gareth shows as the last vehicle he used.
Gareth goes onto the RAM Assist app on his phone and selects a task such as "Log Mileage".
He then selects the vehicle he is currently using from the dropdown and completes the task.
The interface on the RAM assist desktop version has updated to reflect the current vehicle Gareth is using.
The easiest and recommended way to update is for your relevant driver to perform a vehicle check before they set off for their day's tasks.