My party trick is meeting everyone in a room once and then raffling off their names a half hour later. If I was really trying, I can remember them all after a week or a month. Sometimes, I really can try and the name will come back to me after a few minutes. It's magic to some, which is true in that most magic is just lots of intense preparation and practice. So, here's all the tricks I have developed.
First, you need to put yourself in situations where you can practice learning and remembering people's names. At the start of college, I had read How to Win Friends & Influence people and it directly influenced me to try and learn how to remember people's names. This was a very good environment for this, I was constantly meeting people, and wouldn't it be nice if I made a good impression on them! Conversely, hard to practice the skill if you aren't meeting people often. It's also not a permanent skill for me, and if I fall into a routine without meeting many new people, then it's not as easy, but thankfully still comes back soon after.
The next thing was that I wasn't trying to remember somebody's name, I was habitually checking during the initial conversation to see if I had forgotten it. Depending on the culture you are in, you have about 15 minutes after meeting someone to ask them their name again, as almost certainly they have forgotten yours, people are not good at this. It's an easy way to indicate that you are interested in continuing to know them, it's social, polite and even charming at times, as why else would you want to know their name if you didn't want to contact them in the future because they're good people? So a few minutes, then ten minutes, then a half hour, you check if you know it, and ask if you don't. That's easier to remember for me, than to remember somebody's specific name.
I have kept a daily journal for most of my adult life, and it's more or less write only, I don't often go back and read it, and often cannot, my handwriting is so bad. But it's helpful on days when I need to write things out, and it's another useful habit in learning to remember names. At the end of the days when I was really training this skill, I made myself write down the names of everyone I had met that day. This was often difficult, and I remember getting headaches doing it at times, trying to write down the names of 20 or 30 people at a time. However, it helped set the expectation that I would remember everyone's names, and that reinforced the behaviors.
I did find that I developed chunking of names for lack of a better term. I would remember names in order of where I met them and maybe even which part of a room I was in. Not unlike a mind palace, but not something I really tried to do consciously. Just the idea of remembering I met Grace, Alice and Bob in that order at this party.
After that, just try and do your best for a couple months and it will improve without a doubt. People tell me they are bad at remembering names, and I ask them honestly, how hard do you try to remember them? Even a little bit of effort goes a very long way here.
What I will say is that I have difficulty learning somebody's name in two specific scenarios, beyond it being a bit harder as I get into my thirties now. If I am on zoom, it does not work at all the same. Their names are right there and so I never really feel the need to learn it and I can feel that I don't really know it. The second is that if I have to learn the name at the same as learning that it is a specific persons name, then I struggle with it. That is to say, if it's a name that is foreign to me, it's harder for me to remember, and so I have a habit of asking them to say it again right off the bat. I'm living in a different country now than before, and I can tell that I've gotten more used to the names and language with the time as it is easier for me to remember most of the people's names now. The trickiest ones for me at times are not putting together names that sound very similar together mentally but are in fact spelled and pronounced differently.
With that, that's all my tricks. I am pretty happy with it and it's served me pretty well over the years. I never turned into one of those freaks with the excel spreadsheets full of names and birthdays though ;) That's a step beyond me, and I'm just not socially diligent enough to keep that up long term yet. Good luck!