Hey! I just submitted a run-in "Forget Your Friend's Birthday!" Is there any way to check that it went through? Or do I have to just wait until it gets accepted or denied?

You will get a notification if your run gets accepted or rejected. You can check if you have that notification on by going to settings, then notifications.

Is this what you’re looking for? It lists all the runs you have pending.

https://www.speedrun.com/pendingactions