Support is a revenue channel that most teams throw away
Every business measures its support desk as a cost. That framing is a habit, not a fact. A meaningful share of the people opening your chat widget are not existing customers with a problem. They are prospects doing research, and the question they are asking is a purchase question wearing support clothing.
"Does this integrate with X." "What happens if I need to cancel." "Is there a limit on how many users." Those are not support tickets. Those are objections, and if you answer them well and then never find out who was asking, you have run a sales conversation and deliberately thrown away the lead.