Guard the archiver and notifier passes with a Postgres advisory lock

Both background loops run unconditionally on every instance with no
coordination between them, which the chart's replicas: 1 + strategy:
Recreate exists specifically to paper over: with more than one replica,
every one of them would sweep and deliver notifications independently,
and two overlapping during a rollout would both page for the same
incident.

Add withAdvisoryLock, which takes a Postgres advisory lock on a
dedicated connection and runs a pass only if it gets the lock,
otherwise skipping until the next tick. Wire StartArchiver and
StartNotifier through it with their own lock keys, so Sweep and
NotifySweep themselves are untouched and every existing test calling
them directly keeps working unchanged.

This also closes the notifier's double-delivery race in passing: two
replicas can no longer both be inside deliverPending at once, since
only one can hold notifierLockKey at a time.

Deliberately not addressed here, and still blocking a replica count
above 1: the in-memory login rate limiter, the unlocked migration
runner, and the new-incident-insert race on a webhook for a brand-new
groupKey. Noted in the updated chart comment.

Co-authored-by: Claude <noreply@anthropic.com>

internal/api/archiver.go

@@ -15,6 +15,12 @@ const (
 	// expiryGrace absorbs clock skew and notification latency before an alert
 	// whose ends_at watermark has passed is treated as stale.
 	expiryGrace = 5 * time.Minute
+
+	// archiverLockKey is the Postgres advisory lock the sweeper takes for the
+	// duration of each pass, so that running more than one replica does not run
+	// the sweep concurrently on all of them. Its value has no meaning beyond
+	// being distinct from notifierLockKey.
+	archiverLockKey int64 = 7265_0001
 )
 
 // StartArchiver runs the alert sweeper until ctx is cancelled, starting with an
@@ -23,15 +29,25 @@ const (
 // the fallback, not the setting: each pass reads the current value from the
 // settings table, so an administrator's change takes effect on the next tick
 // instead of at the next restart.
+//
+// Each pass runs under archiverLockKey (see withAdvisoryLock), so that on more
+// than one replica only whichever instance's tick takes the lock first actually
+// sweeps; the rest skip that tick rather than racing the same pass.
 func StartArchiver(ctx context.Context, db *sql.DB, archiveAfter, staleAfter time.Duration, notify NotifyConfig) {
 	ticker := time.NewTicker(sweepInterval)
 	defer ticker.Stop()
 
-	Sweep(ctx, db, archiveAfter, staleAfter, notify)
+	sweep := func() {
+		withAdvisoryLock(ctx, db, archiverLockKey, "sweeper", func() {
+			Sweep(ctx, db, archiveAfter, staleAfter, notify)
+		})
+	}
+
+	sweep()
 	for {
 		select {
 		case <-ticker.C:
-			Sweep(ctx, db, archiveAfter, staleAfter, notify)
+			sweep()
 		case <-ctx.Done():
 			return
 		}