Of course.
When Lu Yuan is ready to send troops in a certain direction, in addition to the mobile troops that can be mobilized, the local troops and forbidden army in that direction will naturally be within the forces that can be mobilized.
For example, if Lu Yuan is in Xichuan County, preparing to gather troops to attack Hanzhong County, then the forty thousand forbidden army in Xichuan County and thirty thousand county soldiers can naturally be mobilized by him to attack Hanzhong County together.
Even in Xiangyang Prefecture, one or two defending forbidden armies can be dispatched to help from the flanks.
By this calculation, the troops he can mobilize can reach as many as two hundred thousand.
If it is from Dongting County, preparing to attack Ning Country, or Nanhai Country and Su Country, then the forces stationed in Dongting County, and even those from Xiangyang Prefecture, can be mobilized accordingly.