It very well may start to go east, but it looks like it’s going much further west than anticipated.
Latest forecasted track has shifted the storm landfall to 30 miles west. Earlier this morning, it showed the eye passing over Tallahassee. The one I saw an hour ago shows the eye crossing Tate's Hell State Forest 30 miles west of the original track and just east of Appalachicola. If there is another 30-40 mile shift west on the next update, it'll be hitting Tyndall AFB right in the mouth and be an almost carbon copy of Hurricane Michael's landfall location.