Unfortunately, doing a hard reset doesn't fix this issue like it did the other one. I had also saved during it to reload the game, in case that would help, but it put me outside of the blocked off area, so I was stuck outside of where I'm supposed to go. But, I was able to fix that by just using the console to warp to spawn, and I was able to start the sequence again. Definitely a good call, making the sequence take place in a separate map, instead of just removing NPCs and adding barriers, because it makes it easy to get out of the sequence if something goes wrong.
Thanks for the response! It seems you were right. I suppose I was completely misunderstanding where I was supposed to go. A while after I had sent the comment, I had noticed that the area past the park wasn't blocked off. Things went smoothly after that! The quick response is definitely appreciated!