So I just found out a new piece of information. I spoke to my agent, and he says that the actual deadline is not the 6 months from the AOR date (which is shown on the profile), but 6 months from the ITA documents submission deadline.
I submitted by documents and received my AOR on 23rd November, and the official deadline to submit my ITA documents was on 3rd December. So according to the agent, the actual deadline for me is 3rd June. So hopefully, there may be chance I get it before the 3rd