Depends on what we're talking about. If it's AWS & cloud services then prob carry on like normal. The laptop acting as a server on my desk and anything more decentralized like Syncthing/Nostr is pretty undisturbed by that sort of stuff. Though some cash on hand, and having a few different banking options (different credit cards, some cash in services like PayPal, ect), could be handy to make sure I could buy things.
If you mean something really serious, like taking out the Grid and the internet, then that's a different story. A few days at least of food, fuel, batteries, and the like; warm clothes, a wind up radio/flashlight, a weapon, and probably some sort of solar power. I've got a mini folding panel for phones, but if/when I buy a house I'd love to setup some cheap used panels on some posts or something, maybe get myself a makeshift mini off grid power source that's got enough juice to at least charge an electric motorcycle if not Lvl 2 EV charging. Otherwise, probably a generator.
Also probably wouldn't hurt to have offline data. Kiwix, Survival Manual, Trail Sense, and Equate all are pretty useful offline data apps - not to mention ebooks & physical books, offline LLMs, & physical maps or offline navigation apps like Organic Maps/OSMand.
My 2c
