That made my door height two inches taller.
Making garage door taller.
Garage door openings are famous for having undersized headers and rotten out sill plates.
Usually 4 or 8 feet.
Have your contractors figure this in.
Wall extensions because garage doors are usually sized to snugly fit the dimensions of the garage itself making the door larger usually means making the garage larger.
That is the side where your truck is to go you can build out on the back side.
What kind of load is the header over the garage supporting.
To raise the opening you will have to remove the header.
Easy to do and it can solve alot of problems.
One way to do it would be to get wall extensions for the entire the garage and then cut the roof of the garage off lifting it up to the height you want it.