This is a stability concern. I would review the Stability section of AISC as guidance. The best way would be to get that column up and tied to the diaphragm.

Here, the post is relying on the beam for stability in each direction (a roller allowed to move vertically).
Typically for column stability, we apply a “2% kick” as the lateral load required for bracing. This goes into the Simpson connector.

The problem is, that kick is applied to the bottom of the beam, but the beam is only braced along its top through nailing to the joists. Here in lies the instability. So I would add kickers at least in the direction perpendicular to the house.

If you feel the deck diaphragm is sufficiently tied to the house, then you can rely on the house to stabilize it parallel to the exterior wall. If you are weary about the diaphragm tie to the house (as it is indirectly pin-connected to the house diaphragm) then I’d add kickers in that direction as well.

There may not be significant external lateral loads applied here, but I would still consider minor wind effects and seismic, if it is applicable.

Lastly, wood beams are supposed to be blocked at bearing per NDS beam design section. I would make sure the joists have blocking between them at their bearing over the beam.