Have physical AT&T Fiber; Address marked as not having fiber.

Start here: https://www.att.com/availability/. Do you show service available at your address? If so- Great. If not.... do neighbors on either side of you (not across the street or around the corner) have service? If so, call 800.288.2020 and request an address verification. Usually takes 2 - 3 weeks to resolve.

If your address qualifies for fiber install, will need a full tech dispatch ($99) as fiber ends, ONT are not sent to end user. 

If the address was previous fiber service with ONT assigned (installed) at address could do a self install with the gateway, power supply and RED data cable shipped to you.

But as have no fiber ONT installed, this would require a full tech install.

The wiring box seems to be in an MDU (multi dwelling unit) of apartment or condo complex.... not single family dwelling. 

Looks like your apartment was wired to be able to connect to att fiber. That doesn’t mean it’s available. Maybe the building was set up in anticipation of having att fiber, but att or the building owner backed out. Or att stopped running fiber in the area. 

 TL;DR: y tho?

Yes this is a multifamily apartment building (MDU).

I have already opened an AR ticket. It appears to have been closed with the conclusion that they don't want to do it.

At least one neighbor in the building has Fiber service, the rest of the addresses are all wrong (as was mine prior to the AR ticket).

I shall now ceremoniously don my T shareholder hat:

There is $13,000+/mo. revenue on the table for you in this complex.

The wiring needs would be trivial (fiber plant is in place, conduits from that box are in place, box is wired for power, backhaul exists).

Furthermore you could easily have your vendor drop a femtocell in your routers with AT&T 5G and then use the fiber as backhaul for that as well, which could score you some major wins in MDUs...

You are right that the building owner probably did "pull out."

Which board member/executive is normalizing the idea that you walk away from $13,000/mo.++ because a building owner does this?

Please I need to know for when I vote proxy.

This is a customer to customer forum. Only a few support people read these posts. 

Keep in mind that a fiber can only serve a certain number of customers (a splitter has a fixed number of outputs) and also has a fixed bandwidth that the customer share.  The fiber serving your complex may already be fully utilized.

The 5G will be run, or not, on its own merits, and be sure that the number crunchers are evaluating the best way for them to turn a profit on that.

I shall now carefully don my PhD in CS, concentration in High-Speed Networks hood over my T shareholder hat (my PON knowledge is a little foggy):
The point about the optical splitters gets at the most plausible technical "limitation": Basically all the ONT boxes need to negotiate waves/TDM slots on the same glass in a PON--there are a limited number of multiplexing options available before you would need either more sophisticated ONT boxes or some kind of router, switch, muxponder, etc. in the path.

But the dismaying part of this for a shareholder is that comcast is already successfully running its RFoG PON and making money in my building while AT&T is presumably holding out for some kind of building owner payment or cheaper hardware (I highly doubt the arguments I have read about IP transit, since AT&T already owns a backbone). It's like being a shareholder of a retailer, watching them build a beautiful new store in your neighborhood, and then just leave it vacant while a competitor moves in next door and does business.

It really calls into question what the logic of this situation is...

Its AT&T. They are leveraging calculated scarcity to justify to the consumer and shareholders paying big bucks for older outdated tech saving them on labor and to keep people paying 100 bucks a month for less bandwidth utilization on their backbones. This has ALOT to do with spite over the many breakups the government has subjected them to AND the fact that they have to pay competing CLEC's and ILEC's that they used to own, for transit across networks THEY built. Also the refusal of AT&T to spend money to modernize their network and use WDM and upgrade all their optics. To add insult to scandal, ATT has ALOT of infra that they do not even know where exactly it is, what it is, or what it even does on their network because during their many breakups alot of data and information about their own networks has been lost to the many "Bob from field ops" that handled many of the small parts of their national infra that were subsequently laid off or transferred to a new entity that is now a competitor.
Also, that looks way to thick to even be a fiber line. Are you sure thats not a copper tracer? If it is ive never seen tight buffer material that thick ever in my life. If its fiber and you stip it, well nothing lost because AT&T calls it unserviceable anyway and if its a copper tracer there will be also nothing lost because they can just use it where it lies.