Hi @Here4DOE,
The "quick fix" solution could be to create the design without the centre points (so that levels of the categorical factors are balanced), and manually add the 6 centre points (3 for L1, 3 for L2). You could then randomize your design table by using the Create a Subset Data Table platform with sampling rate of 1, to keep all rows from your design but randomize the order.
Note that if you really need to enforce a balance between your 2 levels of categorical factor, you need to have an even number of total runs (like 32 or 34 in your example). Else JMP will try to find the best trade-off/balance between the repartition of centre points and the "other" points so that all runs are distributed in a "balanced" way across all levels.
Hope this answer can help you,
Victor GUILLER
"It is not unusual for a well-designed experiment to analyze itself" (Box, Hunter and Hunter)