It depends. Up north you have to watch BG crowding more than in the south.
In the south you want the BG to spawn before you add LMB. You don't want the LMB eating your first stocked BG. Up north it is different, and you don't want your BG to get too far ahead of the LMB and created a BG stunting problem.

Standard stocking method of FH followed by same time stocking of BG and LMB at 2 inches avoids the issue as the first stocked LMB can't eat a same size BG but they eat FH and their offspring. Those LMB will be able to eat any BG offspring hatched in the pond over the first year. There are numerous ways that will work depending on location and goals. The concept is the same you don't want the first stocked predators to eat the first stocked BG.