Dremel 9904 small carbide carving cutter
Dremel 9904 has a documented 3/32-inch working tip and 1/8-inch shank.

How to choose
Check the tip size for the detail and the shank separately for tool fit. A neighboring model with the same shank can have a larger contact area.
Compatibility and limits
3/32-inch working tip on a 1/8-inch shank · round-end carbide profile
Care
Before mounting the accessory, check its speed rating against the tool and use the holder specified for its shank or mandrel. Refer to the exact model instructions for the workpiece.
Questions before buying
Is the 9904 worth comparing if the 9903 head is too wide?
The 9904 has a smaller working tip, so compare its clearance against the exact space you have. Confirm the shank separately, since the narrower tip does not imply a narrower holder.