I bet I forget names as quickly as you do. There are memory aids like associating a name with an object or another person to help you, but who remembers that when you are just trying to hear their name the first time?
I gave up trying to dance around the subject and just say I’m getting old or my hearing is going (both likely to be true) and ask them to tell me again. More often than not, they forgot my name also.
Most likely, I just move along and not really care. I find that being nice and waiting to see if they will really enter your life or is it just being cordial determines if I’m going to remember their name.
Either way, it’s a conversation starter, not something for Introverts so it won’t be me unless I just want to ignore everyone.