The API-650 nozzle check tool lumps thermal displacement and hydraulic displacement and rotation into a singular calculation. The results appear when you instruct CAESAR to start the run.

If you would like hydraulic displacement separate from thermal displacement, then you would specify a thermal differential of 0.

It's noteworthy that the new verbiage in the B31.3 piping code (if applicable to your case) regarding piping lifting off supports could equally be construed to the hydrostatic effects of having a filled tank, but I would be inclined to use the "normal liquid level" as that value, and not necessarily the full tank level.

If you are expecting CAESAR to automatically apply these displacements at the node in question, you have to provide CAESAR with a displacement (you can set the numbers to 0) at the node to overwrite with the calculated values. Alternatively, you can manually set the displacement at the tank wall by placing an anchor and specifying a CNODE to node that's unused elsewhere in the model, and specifying the displacement at that otherwise unused node.