fix(staging): refresh dual-host edge verification

deploy/run-staging-deploy.sh

@@ -177,6 +177,7 @@ trap rollback ERR
 
 switched=true
 "${compose[@]}" up -d --no-build --remove-orphans
+"${compose[@]}" up -d --no-build --force-recreate --no-deps caddy
 
 verify_container_image() {
   local service="$1"
@@ -202,8 +203,10 @@ let observed = {};
 for (let attempt = 1; attempt <= 12; attempt += 1) {
   try {
     const login = await fetch(`${process.env.STAGING_URL}/login`);
-    const adminPage = await fetch(`${process.env.STAGING_URL}/admin`, { redirect: "manual" });
-    const adminApi = await fetch(`${process.env.STAGING_URL}/api/admin/session`);
+    const userAdminPage = await fetch(`${process.env.STAGING_URL}/admin`, { redirect: "manual" });
+    const userAdminApi = await fetch(`${process.env.STAGING_URL}/api/admin/session`);
+    const adminPage = await fetch(`${process.env.ADMIN_USER_ORIGIN}/admin`, { redirect: "manual" });
+    const adminApi = await fetch(`${process.env.ADMIN_USER_ORIGIN}/api/admin/session`);
     const account = await fetch(`${process.env.STAGING_URL}/api/account`);
     const publicHealth = await fetch(`${process.env.STAGING_URL}/api/health`);
     const publicBody = await publicHealth.json();
@@ -212,6 +215,8 @@ for (let attempt = 1; attempt <= 12; attempt += 1) {
     observed = {
       attempt,
       login: login.status,
+      userAdminPage: userAdminPage.status,
+      userAdminApi: userAdminApi.status,
       adminPage: adminPage.status,
       adminLocation: adminPage.headers.get("location"),
       adminApi: adminApi.status,
@@ -224,6 +229,8 @@ for (let attempt = 1; attempt <= 12; attempt += 1) {
     };
     if (
       login.ok
+      && userAdminPage.status === 404
+      && userAdminApi.status === 404
       && adminPage.status === 307
       && adminPage.headers.get("location") === "/login"
       && adminApi.status === 401