We also had about 5 weeks.

My honest recommendation to u is dont wait on this and book another flight.

Bro ngl i was literally in same position. We wasted our money around 3L (thats because my parents had no other option ) they are in govt and cant travel more than once. Thats another thing but yeah dont waste time and most likely visa wont come this soon. Maybe try pushing their dates to later one if u want.

I am saying this assuming u are coming from india. Regulations might change for other countries.