The appropriate way is two operations. One with the 0.250" cutter, followed by a second with the 0.062"cutter. The appropriate option to select for the second operation is "rest machining". This means, literally, that the operation is machining the rest of the material another couldn't get to.
The second operation must be in the same setup as the first, and, generally, should be the same operation. For example, to do a large rectangular pocket in a softer material (woods, plastics, aluminum on a machine with sufficient spindle power), I would run the larger bit with adaptive clearing(2d), and maybe a 0.005" radial stock to leave (zero axial), followed (edit) 2d pocket operation with the smaller and rest machining selected and te same 0.005" radial stock to leave. The follow up would be a finish operation (2d contour) to clean up the last 0.005" of stock using the 0.062" bit. Why 0.005" for the finishing op? It is a safe single pass with the 0.062" cutter in most materials and is enough to insure that the cutter cuts rather than rubs.
edit: Fusion adaptive does not have rest option. 2d pocket must be used as second op
edit 2: Also, watch the depth of cut. You may need to select multiple depths, especially with the 0.062" cutter, if the pocket is deeper than a few mm.