She figures out how to use email and sends a batch of emails to various possibly relevant companies in only slightly broken English explaining that she is a new cape ('cape' being different from 'parahuman' and thus not a lie) who can make and manipulate large amounts of stone and other earth-sourced things. Her name is Mountain, the Protectorate can verify her existence, and she'd be interested in selling services and materials.
Then she flies to one of the relatively cheap clothes stores she found on the internet. She's dropped most of the outer layers of her rock armor because it's too bulky (she can always make more after all), but is still pretty clearly a cape. She keeps her helmet because people seem surprised whenever she doesn't.
A bunch of those companies reply asking her about various things like rates, speed, what exactly she is offering, etc. She's not the first parahuman to go Capitalist but she is fairly rare in doing so and still identifying as 'cape.'
She tries on clothes for a while, shedding her rock armor in the changing rooms, before buying a few simple outfits, packing them away, and flying to her mountain in the sea for the night.
The following day, once she has signal, she will also receive a text message with a more precise location (the PHQ's roof) and time (4:30PM) for her to be escorted to Japan.
Fine, fine, forms and paperwork. Until 4:30 PM. Is she done with the forms and paperwork by then?
At 4:30PM, there's a jet, two Sentai Elite, and one Japanese woman in a crisp formal dress waiting for her. "Good afternoon, Ms. Mountain," she says in heavily accented English. "It is our utmost pleasure to escort you to our glorious country."
(She replies to interested parties that she's still arranging things with the PRT and will be doing repair work in Japan. They should expect to wait a few days/weeks.)
"Good afternoon. I hope my visit will be productive and interesting. Shall we board?"
"Yes, indeed. I am Aiko Wakahisa, and these are my colleagues Windfire and Blot. Let us board."
The inside of the jet is sumptuously appointed, with a red carpet and dark wooden furniture, as well as comfortable reclining and rotating chairs.
The strenuous politeness will probably get old eventually, but for now it's sort of interesting.
"If I may ask, in what ways are the Sentai Elite different from the Protectorate? I admit I do not know a great deal about either group yet."
"We have very different philosophies. The Sentai Elite are more strictly trained, and we do not have celebrities. The names I informed you in English are not equivalent to the ones we have in the original Japanese—we highlight the importance of teamwork and complementing abilities and skills. The entire Sentai Elite is a cohesive unit, and each individual team is more a limb of that unit. We also keep track of all parahumans in sovereign territory, as you have been informed, in order to better understand and plan for contingencies and emergencies."
"I see. Is there a plan ready for the reconstruction? Will I be working closely with others or on my own?"
"I can work metal with somewhat less skill than stone, but unfortunately I have no ability with glass. I can move water as well, but with relatively little skill and power. I do not often find it useful except as an umbrella."
"Yes, that would be best. I expect to want to help for about a week, possibly more or less depending on how much can be done in that time."
"I only regain power when I rest in a place I have personally built or modified. If possible I should sleep on one of the plateaus I created to evacuate people, or on the mountain I accidentally raised while trying to hold Kyushu together."
"I will probably accept." Is that the end of the conversation? If so, she'll get out her phone and see if it still internets after a few seconds of polite silence.
So, does her Protectorate phone still have access to the internet? If so she starts scanning for advice on the PRT's paperwork. If that seems like a dead end she'll send emails to lawyers and hope they won't charge much to inform her what all those endless contracts actually mean.
But lawyers that can navigate that for her are not too expensive!
...for lawyers. For her current funds, they're stretching a bit, but given that she doesn't need to pay for a place to live she might just be able to pay for one of the less expensive ones.
Can she borrow money from somewhere? She'll only need it for a month or so, and she doesn't really want to hire a cheap lawyer when screwing up with the law could be so inconvenient.
She only needs a small part of that big loan, though. Emails go out to the bank and one of the most recommended law firms. She wants a concise explanation of what all the paperwork means for someone new to English, and probably some phone conversations about it later. She'd also like it if they can do some of that paperwork for her. She doesn't need everything finished until she's back from Japan, though.