feat(nav): close P0/P1 parity gaps (nav style, history, plate, admin build)

Wire header_nav_style transparent/blur, login history sync, plate publish
type, clean dead search CSS, rebuild admin SPA locally (build gitignored).

assets/js/header-inline-search.js

@@ -41,6 +41,34 @@
     } catch (e) {}
   }
 
+
+  function saveLoggedHistory(keyword, type) {
+    if (!(window.aksrtData && aksrtData.isLoggedIn) || !ajaxUrl() || !keyword) return;
+    var items = readLocalHistory().filter(function (k) { return k !== keyword; });
+    items.unshift(keyword);
+    items = items.slice(0, 20);
+    // Also update local cache for panel paint consistency.
+    writeLocalHistory(items);
+    var payload =
+      "action=aksrt_search_history&nonce=" +
+      encodeURIComponent(nonce()) +
+      "&mode=save&items=" +
+      encodeURIComponent(
+        JSON.stringify(
+          items.map(function (k) {
+            return { keyword: k, type: type || "post" };
+          })
+        )
+      );
+    try {
+      var xhr = new XMLHttpRequest();
+      xhr.open("POST", ajaxUrl(), true);
+      xhr.setRequestHeader("Content-Type", "application/x-www-form-urlencoded; charset=UTF-8");
+      xhr.send(payload);
+    } catch (e) {}
+  }
+
+
   function keywordChips(list) {
     return (list || [])
       .map(function (kw) {
@@ -232,7 +260,9 @@
       form.addEventListener("submit", function () {
         var q = (input.value || "").trim();
         if (!q) return;
-        if (!(window.aksrtData && aksrtData.isLoggedIn)) {
+        if (window.aksrtData && aksrtData.isLoggedIn) {
+          saveLoggedHistory(q, typeValue());
+        } else {
           var list = readLocalHistory().filter(function (k) {
             return k !== q;
           });
@@ -297,8 +327,33 @@
     });
   }
 
+
+  function bindFullSearchBoxHistory() {
+    document.querySelectorAll('form[data-aksrt-search-form="box"]').forEach(function (form) {
+      if (form._aksrtHistBound) return;
+      form._aksrtHistBound = 1;
+      form.addEventListener("submit", function () {
+        var input = form.querySelector('input[name="s"]');
+        var q = input ? (input.value || "").trim() : "";
+        if (!q) return;
+        var typeInput = form.querySelector('input[name="aksrt_search_type"], input[name="type"]');
+        var type = (typeInput && typeInput.value) || "post";
+        if (window.aksrtData && aksrtData.isLoggedIn) {
+          saveLoggedHistory(q, type);
+        } else {
+          var list = readLocalHistory().filter(function (k) {
+            return k !== q;
+          });
+          list.unshift(q);
+          writeLocalHistory(list);
+        }
+      });
+    });
+  }
+
   function init() {
     bindRemoteBoxes(document);
+    bindFullSearchBoxHistory();
     bindNavbarSearchSlide();
     var form = document.querySelector('form[data-aksrt-search-form="inline"]');
     if (form) enhancePanel(form);