feat(nav): deep 1:1 zibll search-box + navbar-search + newposts unify

Port aksrt_get_search_box/posts for menu_search and layout 1/3 slide;
unify publish switch; expand user-box admin row; CSS/JS remote-box parity.

templates/parts/navbar-search.php

@@ -0,0 +1,57 @@
+<?php
+/**
+ * Layout 1/3 top search slide layer (zibll .navbar-search + search-box).
+ *
+ * Footer tabbar keeps templates/parts/search-panel.php (#tabbar-search-overlay).
+ * Top-nav icons use data-toggle-class="show" data-target=".navbar-search".
+ *
+ * @package AKSRT
+ */
+
+defined('ABSPATH') || exit;
+
+if (class_exists('\AKSRT\Settings\Settings')) {
+	$header_nav = \AKSRT\Settings\Settings::get_header_nav_settings();
+	if (empty($header_nav['search_enabled'])) {
+		return;
+	}
+}
+
+if (!function_exists('aksrt_get_search_box')) {
+	return;
+}
+
+$show_keywords = true;
+$show_history  = true;
+$show_posts    = true;
+if (class_exists('\AKSRT\Settings\Settings')) {
+	$show_keywords = method_exists('\AKSRT\Settings\Settings', 'hot_search_enabled')
+		? (bool) \AKSRT\Settings\Settings::hot_search_enabled()
+		: true;
+	$show_history = method_exists('\AKSRT\Settings\Settings', 'search_history_enabled')
+		? (bool) \AKSRT\Settings\Settings::search_history_enabled()
+		: true;
+	$show_posts = method_exists('\AKSRT\Settings\Settings', 'search_posts_enabled')
+		? (bool) \AKSRT\Settings\Settings::search_posts_enabled()
+		: !empty(\AKSRT\Settings\Settings::get_value('search_posts', true));
+}
+?>
+<div class="navbar-search main-search" data-aksrt-shell="navbar-search" aria-hidden="true">
+	<div class="container">
+		<button type="button" class="close navbar-search-close" data-toggle-class="show" data-target=".navbar-search" aria-label="<?php esc_attr_e('关闭搜索', 'aksrt'); ?>">
+			<i class="fas fa-times" aria-hidden="true"></i>
+		</button>
+		<?php
+		// Full form + keywords + history + hot posts (zibll show_form=true path).
+		echo aksrt_get_search_box([ // phpcs:ignore WordPress.Security.EscapeOutput.OutputNotEscaped
+			'show_form'     => true,
+			'show_keywords' => $show_keywords,
+			'show_history'  => $show_history,
+			'show_posts'    => $show_posts,
+			'show_type'     => true,
+			'show_input_cat'=> true,
+			's'             => is_search() ? get_search_query() : '',
+		]);
+		?>
+	</div>
+</div>

templates/parts/search-panel.php

@@ -1,6 +1,9 @@
 <?php
 /**
- * Global search panel (desktop + mobile).
+ * Footer tabbar / shell search overlay (NOT the top-nav zibll slide).
+ *
+ * Top navigation uses templates/parts/navbar-search.php (.navbar-search) for
+ * layouts 1/3 and remote menu_search for layout 2.
  *
  * DOM contracts for assets/js/core/search.js and footer-tabbar search tab:
  * - #tabbar-search-overlay (also #nav-search-panel for shell config)