Chesapeake Bay Bridge

[Jersey Devil]

Will be leaving for Florida next week heading south on 301 thru Delaware to the Chesapeake bay Bridge.
Called the bridge number and they stated the max height allowed is 13’ 6”.Our 2018 Montana 3731 max height is 13’5”.Going to check for sure but leary of going thru the tunnel. I’am assuming the tunnel height is higher but all they would tell me is all the state will allow is 13’6”.
Anyone been thru the tunnel with a rv at 13’5”? I know truckers go thru there all the time but better safe then sorry.