docs: record first live staging smoke run

TASKS.md

@@ -2,18 +2,18 @@
 
 ## Current
 
-### `feat/next-live-staging-pass`
+### `feat/live-staging-run`
 
 Status: completed
 
 DoD:
-- automated staging smoke helper exists
-- helper validates core public routes, auth session JSON and legacy redirects
-- deploy smoke runbook and README reference the helper
+- first real staging regression entry exists
+- public routes, auth session JSON, MCP health and legacy redirects are recorded against the live domain
+- follow-up for the next authenticated staging pass is captured
 
 ## Next
 
-- `feat/live-staging-run`
+- `feat/authenticated-staging-pass`
 
 ## Backlog