Given that you're using WoodWorks software, I assume you have selected "Lateral support spacing" as:
"Top" = "Continuous" and
"Bottom" = "At supports"
Assuming that's correct, then it would appear that the bottom of the beam does in fact require lateral bracing (as you initially indicated).
By the way, if you look at the Bending diagram provided by the software, where the curve is located above the horizontal axis, that indicates a positive bending moment (top of beam in compression and bottom in tension). Likewise, where the curve is below the axis, you have negative bending (top of beam in tension and bottom in compression).
If you can provide the woodworks calculation output, I can take a quick look at it to see if you're interpreting the output correctly. I would expect the CL value to be less than one for negative bending if buckling at the bottom of the beam is an issue.
To answer your original question, I would attach a kicker between the beam angled up to and lapped along the side of the nearest joist to the center of the beam. That should provide adequate bracing.