1. Use recruiters and network: Wading through the sheer volume of applications was even nasty before COVID, I don't even want to imagine what it's like now. A good recruiter or a recommendation can save a lot of time.
2. Do either no take home test, or one that takes at most two hours. I do discuss the solution candidates came up with, so as long as they can demonstrate they know what they did there, I don't care too much how they did it. If I do this part, it's just to establish some base line competency.
3. Put the candidate at ease - nervous people don't interview well, another problem with non-trivial tasks in technical interviews. I rarely do any live coding, if I do, it's pairing and for management roles, to e.g. probe how they manage disagreement and such. But for developers, they mostly shine when not under pressure, I try to see that side of them.
4. Talk through past and current challenges, technical and otherwise. This is by far the most powerful part of the interview IMHO. Had a bad manager? Cool, what did you do about it? I'm not looking for them having resolved whatever issue we talk about, I'm trying to understand who they are and how they'd fit into the team.
I've been using this process for almost a decade now, and currently don't think I need to change anything about it with respect to LLMs.
I kinda wish it was more merit based, but I haven't found a way to do that well yet. Maybe it's me, or maybe it's just not feasible. The work I tend to be involved in seems way too multi faceted to have a single standard test that will seriously predict how well a candidate will do on the job. My workaround is to rely on intuition for the most part.