When I had my 4WD in the 90's and got my permit for Island Beach State park, I charged out on the beach and got immediately stuck.
I was helped by another fisherman who deflated my tires (very important) and took my jeep out of the variable drive and locked it into full-time four wheel drive. That got me going.
It was great to have assistance by this friendly fisherman.
Many more fishing trips were enjoyed on the beach and was never stuck again.
Paul, nice write-up. First timers and experienced beach trekkers can benefit from these great pointers.