The Asteral Accord's first twelve spaceships are mediocre. They don't have good weaponry and aren't very fast. But they are big and they are durable and they were Edict-granted, and this has kept them in service even as better newer designs were created.
The Accord's territory and business has only ever extended to within the Solar system. But they know that there are places outside of it that other beings come from and go to. They have attempted to approach them for ways to travel interstellarly, or perhaps interuniversally, but have always been rebuffed.
They retrofit the AAV Arch to contain an experimental interstellar warp drive. Stone magic to enclose the ship in a bubble and propel it, fire magic to power it, and wind magic to guide the way. It will warp space and deliver the whole ship instantly to the destination. They bring it, plus a hauler, to the edge of the Solar system, and point it towards Proxima Centauri.
The hauler disgorges several batches of massive orgonic batteries to connect to the drive. It will take a lot of energy. The emptied ones are returned to the hauler, and it returns to the asteroid belt.
If all goes well, the crew — composed mostly of physicists and magicists and engineers — shouldn't feel a thing. They have perfected the art of g-force insulation from those first early days of making shuttles. Still, they prepare and brace for it.
All does not go well.