How Would You Handle Our Team Dynamic?

I don't know how to describe it other than a team dynamic sort-of issue. I work on a 10 person sysadmin team that's part of a much larger IT structure. My job is kind of a unicorn, we're a 100% remote, mostly 9-5 shop with nights only ever coming in if we're doing a project where work nights are scheduled well ahead of time. Otherwise once we're out for the day we're out-out, I'll get back to you at the start of business tomorrow.

The issue is we absorbed a sysadmin from another team whose regular hours are overnight. They were allowed to keep those hours but it's turned into a nightmare trying to work with them on anything. There's zero possibility of a face-to-face conversation. Text conversations have 12 hour gaps between my reply and their reply. I know my coworkers are frustrated as well (not directly complaining but offhand comments about being difficult to communicate things).

My most recent issue is trying to explain to them that something isn't within my power to do and I don't know whose power it is. I have two options: do the groundwork for them, find who does have the power to fix it, and ask them to OR I could leave it as is and have them flounder about how to get their thing done because they don't share working hours with any of the people involved. I want to do the ladder but it feels overly vindictive. But at the same time it's not my fucking job to baby someone that wants to work a different shift. I would not be doing option one for a coworker working normal hours because they're more than capable of finding out who they need to talk to. I'm also half-hoping it forces a change in their working hours because it would simplify everyone else's life.

Anyone else ever run into this kind of dynamic? I know it's weird to begin with that we don't usually have 24hr staffing to begin with.

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Edit. I responded to a comment below but wanted to copy it here because I think it provides a little more clarity:

I think part of my frustration with the whole situation is that I got to where I am because I deliver. It doesn't matter if it's outside my area of expertise, if you give me an end goal and a date I'll have it done. Earlier in my career that lead to insane burnout because I'd be like "oh, that thing you thought would take 2 weeks to complete, I got that done in about 2 hours yesterday". So now it's frustrating trying to balance the two competing ideas of "I could have completed this last week" and "that's not my job".

I want to help and get things done but I also don't want to be overburdened into burnout again. Coupling that with being stuck with a coworker on a different work time that I can't directly communicate with, it's just frustrating. Nothing against them personally, but it's hard to onboard and show them how things work across the different orgs we manage with asynchronous communication.

I also don't want to be the one left holding the bag. Our whole team supports all of our orgs but we typically specialize in areas. This org is the one I personally know the most about and typically handle all of their requests and issues that fall under our group. So if it's not done, they typically reach out to me directly to ask why things aren't being done which is also a frustrating situation because I don't direct my coworker's priorities and I don't want to. I'll give them a heads up that X is asking about Y so they know before management is involved but I'm not going to step on their toes.

TLDR: I want to help, I know I shouldn't, it just frustrates me to no end, and I don't know how to navigate it without feeling like a dick.