"Go hang out with the neighbors and watch the mob tear each other to pieces at the grocery store, and then watch the zombies tear the remainder of the mob to pieces at the grocery store.

.... And then think about an excursion to the grocery store once everything settles down. "

"Nah, I'm just taking what I've learned from Sun Tzu. Foraging on my opponent when the opportunity presents itself. :D"

"I would bug out quickly, avoiding attention as much as possible while (as previously mentioned) the mob tears itself to pieces.
Why not wait until things calm down? Because something like this would probably happen:

Walk to the grocery store just to find bare shelves (looted clean during The Panic). Well that sucks, no food. Oh well, at least I can build my anti-zombie uber fortress of death with construction materials from that build site. Walks to the build site just to find all the trucks have left, taking all the good supplies and equipment with them. Oh well, no fortress but at least I can get some awesome weapons from that gun store to protect myself from that horde of zombies outside the grocery store. *Gets shot dead by the gun store owner who has holed up with a hunting rifle and 5 varieties of whiskey, none younger than 13 years*
"

"This is not what Sun Tzu was talking about.

The Art of War teaches to forage on the enemy in order to eliminate the need to supply your armies from home, an operation which would cost 19 supply carts to deliver 1 to the front. "

"I think the main point of TAoW in that lesson was to defer the cost to the nation when supporting an extended military campaign.

It was more a question of logistics than convenience, but you are not wrong to loot your enemies. "