I hope you are still able to meet up for the semester. I would think the embassy wi=ould see the urgency of the application based on the start of the school semester. I am registered to University of Saskatchewan
Apparently the 12 weeks estimate is the time it took the embassy to process the last application, so it doesn't really state it will take 12 weeks. I read that on the website.
september 18th and got confirmation that its at the embassy for processing on the 19th September. I have reached out to bfs, they said it takes 3-4 months . their response didnt help at all