A peanut butter banana sandwich will do!
Global warming is probably not the biggest problem and is one that's a little awkward to work on, but is from afar something squeaky clean to do, maybe? She puts a pin on that - that technology? captain cold was using didn't seem like it's the sort of thing that works remotely normally, so there's a possibility that doing something with that could help a lot. Probably worth asking about, though who is a little unclear.
...Okay they've got to be trolling her. They look exactly the same! There's no way that they actually believe that it's not just some magical trick with illusions or some such? He's even publicly the magic guy, so they don't have the excuse of magic not normally being on the list of options for why things are happening! If anything, in a world with alien technology and metahumans, you'd want to see them in very different places at the same time.
Oh, and yes! 'Atlantis' and 'Themiscrya' are both things, and both things with magic. That's probably a better direction to look than just trying to poke around online if there's as little public magic knowledge as it looks like there is. She also pokes a bit to see if she can find what happened to Doctor Fate after the war - he seemed Important.
She sees if she can find some kryptonian music as ambience - maybe that translates better? Though Superman apparently has superhearing, so who knows if it'd make any sense to human ears.
Having aliens out and about with no readily available FTL is pretty awkward - green lanterns aside. Is there anything public on the rules and regs of their corps? That seems like something worth checking out if she wants to deal with alien things more, and that does seem kind of shiny. A communication system with a 4.5 year ping seems not worth it to her, but what does she know?
Okay, the power generator seems to like it a bit more when there's free powers so... get rid of the anti-synergy power and the common knowledge power and heck while she's at it get rid of the power intuition power - it seems like the main use of those is to get the basic information imparted rather than being the sort of things that give that much feedback as she goes, so it doesn't seem like it's a huge loss to ditch...
She tries to feel out the space of communication powers - could she say, make a base power that pairs two objects for basic sound or text transmission without a range limit, or get a power that would let her have a 'call' with a specific person decided at power creation, even if they're far away or she doesn't know where they are? There's probably a lot of uses for something like that, and it's not obvious to her that it would have to be expensive to make.
Does it have the same problem with vagueness with psychic powers as it does with magic? Probably it does, but there's no harm in seeing if she can at least download non-psychic mindreading resistance 101 into her head, and maybe see if she can get an internal only psychic mental defense constructing power, ideally one that wouldn't rely on her continuing to have 100% psychicness uptime to get some benefit out of the things she'd be able to make?
She pokes the scheduler, and sees about getting a time a bit after the appointment with Batman to do the check-up with Zatara - probably it's best to have the context of that disseminated before she talks to the magic guy about magic things.
The justice league seems... solid in some ways? But she gets the impression they're... a little low on a few things - though high on brawlers and fliers, and only a smattering of people who have the ability to do things truly detailed with the more esoteric parts of this world. She'll leave that as something to ponder idly, since there's just a lot going on, there, and probably a lot of it is just who's available - there really don't seem to be that many metahumans out there, given how diverse they are.
She pokes at the training course thing that batman left her when her brain gets a little mushy and tired - receptively reading things laid out for her always helps a bit when she's a bit tired.