As the title says. I found that the mod dings right after all of the texture errors check appear in the log, and right before Forge spams about models. That causes the ding to play when Minecraft is still loading, sometimes even a couple minutes before it's done.
Log: https://pastebin.com/Y1c1je8s

Sorry this took me so long to address, but Ding now triggers when the Loading screen overlay is removed in 1.19.3+ 😅

This is still happening on 1.0.2. Can confirm an issue with LiteLoader.

I can confirm that this does not happen when LiteLoader is removed.
Ding plays at or 1-2 seconds before main menu loads.

I'm checking for Post Init first now, please let me know if this remains to be an issue on Ding 1.0.2