A Murder in Fairyland help request

I’m currently stuck on A Murder in Fairyland, before I’ve even gotten to the actual murder investigation part. Specifically, I’m trying to get into the palace, but I can’t bribe the guard because I blew my Light particles on something else (should’ve spent Chaos instead since that seems infinitely if slowly renewable by playing the Tarot game, but I didn’t know that at the time). I found the accessibility complaint form and figured out how to submit it, but in order for it to be accepted I need today’s date and am not sure how I’m supposed to get it. I’ve been everywhere I can currently go and talked to everyone I can currently talk to and am making no progress. Can anyone suggest a path forward? Or should I just restart and not spend that Light?

You can deduce the date from the calendar on the elf’s desk in the archives.

Thanks! I got tunnel vision about the clock/sign and forgot to look at the calendar at all, whoops.