Alternatively, you could mean pool (average) the document embeddings for the most popular click results for a given query and use that as the query embedding.
Recently I added a phone line to my ATT account, and part of the online offer was no activation fee. I was charged an activation fee on my first statement. When I chatted with the robot, it took 2 minutes to have the fee refunded.
Obviously I would have preferred to have received no fee in the first place, but in this case the robot was faster and less painful than chatting with a human.
Alternatively, you could mean pool (average) the document embeddings for the most popular click results for a given query and use that as the query embedding.