FYI: You can get extra long cutting bits for working with thicker stock.
I have a MaxNC with a Z cutting depth of 8" and experimented a lot with longer bits.
I found that a 4" cut length 1/4 mill bit worked well for slow rough cutting. I also use it for a final, deep “Outline cut” to finish the work piece and free it from the stock.
But a 2" cut length ball nose 1/32" mill bit was incredibly fragile and only safe at extremely slow speeds. Not worth the expense of constantly breaking bits.
In the end I learned it was better to adjust the design and geometry to be more sloping and avoid deeper details. This allows for the use of the longer bit for the rough cutting but standard bit for the fine detail.