Ty imagined what the control room for the supercomputer, and space station, would be like. He tried to envision it in significant detail. This mattered because he wasn't sure that he could teleport to somewhere he hadn't seen. He imagined that it would actually be quite simple, as everything would be highly automated. There would be a main power panel for the station and computer, a nice big computer monitor, etc., for controlling the computer and station, and monitoring their status. There would be a big viewing window, a bulkhead hatch to a corridor, an emergency hatch to got out into space, and a rack with some space suits in sizes to fit Lisa and himself. He didn't intend to go outside, but best to be prepared. The control room had full life support, but the supercomputer didn't need breathable air, so he didn't bother equipping the rest of the station with life support.
Ty conjured up a high-capacity USB SSD, plugged it into his duplicate of the El Capitan supercomputer, and copied the puzzle solving software and the file containing the four billion Lisa fragments onto it. After unplugging and pocketing the SSD, he made the supercomputer go away, and shrank his bedroom back to normal size.
After mentally preparing himself for all of the steps he would need to take, as quickly as possible, he went back to Lisa's bedroom, and set the special knob on her alarm clock back to normal. Now everything in their bedrooms, himself included, experienced the normal flow of time. That gave him a little over half an hour to restore Lisa to normal and for both of them to get ready for dinner
He willed the space station and supercomputer system into existence around Jupiter, constructed from some of Jupiter's mass. He willed a hyperspatial power transfer conduit into existence between the core of the sun, and the collector at the station's main power distribution center. He willed a space suit into existence around himself, just in case, checked the suit and air tank status, and teleported himself to the control room of the station.
The control room was exactly as he'd envisioned. His suit showed that the air was breathable, so he quickly doffed it. He looked briefly out the window, and was amazed, but he didn't have any time to spare for gawking. He wasted only a moment willing a dedication plaque into existence next to the bulkhead hatch:
Jupiter Supercomputing Facilty I
Dedicated to Lisa
Constructed by Ty, 2025-05-15
We came in peace for all mankind
He turned on all of the breakers at the power panel, and the computer system booted, quickly showing a "LisaRescueOS 1.0" banner, then a very simple desktop, ready for use. He connected the SSD to one of the computer's USB ports, and copied the software and Lisa fragments over. He removed the SSD, and teleported it back to his bedroom for safekeeping. He started the puzzle solving program, loaded the Lisa fragment file, and clicked start.