Reasoning/thinking models (Oracle, Claude Opus) were being killed by the
stale timeout because lastUpdate was only refreshed on tool-type events.
During extended thinking, no tool events fire, so after 3 minutes the
task was incorrectly marked as stale and aborted.
Move progress initialization and lastUpdate refresh before the tool-type
conditional so any message.part.updated event (text, thinking, tool)
keeps the task alive.