It is a straight-in approach, so you are NOT circling.
From the depiction of the circling area, it appears to extend at some angle (15 deg?) from the end of the runway. If so, the final approach course is NOT in the circling area, but defines the western boundary of the circling area. If that is not the case, and the final approach course is inside the circling area, you can NEVER maneuver to align the airplane with the centerline, per strict interpretation of your Jepp citation.
Given the obstacle just outside the 2.0 NM from ARGSM fix, I'd start the alignment at 2.0 NM from ARGSM.
However, ARGSM appears to be on the extended runway centerline per the Note 1, so you should be able to start your final alignment turn as you approach ARGSM, using 15 deg AOB.