who the fuck knows what Asgard transporters can really do.
Asgard Transporters (aka Beaming technology) are actually
construction tools; they disassemble and reassemble matter on a subatomic level, and were later upgraded to be capable of lossless conversion from energy to matter and back again.
That they can be used to disassemble something in one location and then reassemble it somewhere else for transportation is actually something of a side-effect of their true purpose; the creation of anything you have the blueprints of from raw 'feedstock' matter in seconds.
A sufficiently large beaming assembly within range of a big chunk of raw materials (like a moon or a bunch of asteroids) can build an entire Asgard spaceship in
seconds, and as long as it has power and materials it can just keep stamping out fully functional intergalactic battleships until it runs out of one of those things. If said beaming assembly is upgraded with the later improvements then it doesn't even need raw materials; it can just turn its energy supply directly into the required matter.
No need for designated construction areas or waldos or drones or anything like that; the beaming tech can do everything all by itself, limited
only by high energy barriers like shields.
Even the Ancients needed construction robots to build things (that is what the Replicators were implied to originally be, before Reese repurposed the design for toys), but not the Asgard. They can just fly a mobile beaming array to the location, point at where they want the thing, and in a flash of light
there is the thing.
And the Odyssey has the Asgard Core, which is equipped with said matter\energy conversion beaming technology and is explicitly capable of creating literally anything it has the designs for except another Asgard Core and ZPMs. (Why it can't make another core or ZPMs is never given any real explanation, and is most likely a narrative choice to keep the Odyssey special and ZPMs as rare and valuable macguffins, rather than giving the SGC the ability to spam infinite energy forever. This is actually kind of understandable; the Asgard Core being able to replicate itself and ZPMs would basically make it an 'Annihilation Series' Commander\Command Unit, which would rapidly degrade the Stargate storyline into 'and then the Tau'ri walked all over the galaxy with infinite resources and spaceships.')
So yeah, in short; Taylor can make anything she likes, and she has a full ZPM to draw on so she can make anything she likes nonstop for tens of thousands of years even without taking the Asgard Core's energy
generation capacity into account. (it actually creates energy, harvesting it from subspace somehow, rather than just storing ridiculous amounts of energy like ZPMs do.)
It would be easier to list the things that Taylor-Odyssey
cannot do, as that list would be orders of magnitude shorter than the list of what she
can. The Asgard Core has the entire Asgard knowledge-base at its disposal, and unlike Carter, Taylor can actually search through that knowledge-base properly thanks to the part of her brain that is the Odyssey's computer systems (which, incidentally,
include the Asgard Core), which was the primary limiting factor on using the Asgard Core in canon; there is just
so much stuff in there that it would take literal centuries for even the entire human species working together to go through it all, much less the SGC alone.
e:
Another fun thing; while the Asgard Core doesn't have the Ancient knowledge-base, there is a
lot of overlap thanks to the era of 'the four races' in the past. The Asgard absolutely had the theory and tech behind Ancient Ascension Machines, as it is mentioned at one point that the Asgard biology has degraded so far that they cannot Ascend like the Ancients did, which does actually sort of make sense as the Ascension Machine clearly shows that Ascension is at least partially a physical\biological process.
While the machine doesn't work properly on humans due to being calibrated for Ancients\Alterans\Lanteans, there's no reason why it
couldn't be re-calibrated for humans instead.
In short; Taylor can theoretically create machines that turn humans into small-g gods, and that is only
scratching the surface of the Odyssey's full capabilities. The Odyssey was a
ridiculous ship, effectively an entire intergalactic civilization in and of itself, with all that implies. Planetary Annihilation Commanders would be jelly of the Odyssey, because it can do everything they can do only better, and is space-capable without retrofitting.
