Solution
The PXIe-4304 does not have an "ai/StartTrigger" terminal. Instead, it has "te0/StartTrigger", "te1/StartTrigger", "te2/StartTrigger", and "te0/StartTrigger", which VeriStand doesn't know how to handle. If you want to synchronize the PXIe-4304 modules, you must have other DAQ hardware present, which has an "ai/StartTrigger" and supports exporting the ai/StartTrigger from PFI, such as a PXI multifunction I/O module - PXIe-6345. This module is set to the Chassis master hardware synchronization device and exports a starter trigger from a PFI terminal. See Figure 1.

Figure 1.
PXIe-6345 exports a start trigger from PFI5
In other chassis, the PXIe-4304 imports the start trigger from the
Trigger line. See Figure 2.

Figure 2.
PXIe-4304 imports the start trigger from PFI0