fix: align business reports and record task migration progress

deploy/docker/wait-backend.sh

@@ -0,0 +1,19 @@
+#!/usr/bin/env bash
+set -euo pipefail
+
+# The HTTP listener starts after migrations. Large indexes have no meaningful
+# fixed startup deadline; a stopped/restarted process is an actual failure.
+started=$SECONDS
+echo 'Waiting for backend startup and database migrations to finish...'
+while true; do
+    state=$(docker inspect --format '{{.State.Running}} {{.RestartCount}}' sw2-backend) || exit 1
+    if [[ "$state" != 'true 0' ]]; then
+        echo "Backend exited or restarted during initialization ($state); check the migration logs." >&2
+        exit 1
+    fi
+    if curl -fsS --max-time 3 http://127.0.0.1:9602/health >/dev/null 2>&1; then
+        printf 'Backend ready after %s seconds.\n' "$((SECONDS - started))"
+        exit 0
+    fi
+    sleep 2
+done