refactor: rename the theme brand and every identifier from AKSRT to Jio

Full-project rename. `git grep -i aksrt` is now empty apart from the
DBMigrator 3.3.0 changelog note that documents the rename itself.

Code identifiers
- PHP namespace AKSRT\ -> Jio\ (composer PSR-4 + 378 declarations)
- global constants AKSRT_* -> JIO_* (VERSION/DIR/URI, PAY_TYPE_*, CAPTCHA_*)
- procedural functions, hooks, options, meta keys, table names,
  cookies, query vars, ajax actions and nonces: aksrt_ -> jio_
- text domain aksrt -> jio; Theme Name -> Jio
- JS globals: aksrtData/aksrtAdminData/... -> jioData/jioAdminData/...,
  window.AKSRTCaptcha & friends -> window.JioCaptcha, Aksrt* -> Jio*
- Vue components Aks*.vue -> Jio*.vue (15 files renamed + imports)
- CSS classes/data-attrs/custom properties: aksrt- -> jio-
- REST namespace aksrt/v1 -> jio/v1 (incl. payment gateway callbacks)

Storage layer
- DB tables {prefix}aksrt_* -> {prefix}jio_*; SCHEMA_VERSION 3.2.0 -> 3.3.0
  so dbDelta creates the new names on install
- widget id_base aksrt_widget_* -> jio_widget_*
- uninstall.php drop list rebuilt from the actual migrator tables
  (dropped 3 stale entries, added the 17 missing ones)

Removed
- hardcoded https://api.aksrt.com/version.json default update endpoint;
  get_endpoint() now reads the 「更新端点」 setting and do_check() no-ops
  when it is empty

Files renamed: inc/helpers/aksrt-*.php -> jio-*.php (54),
assets/admin/src/components/form/Aks*.vue -> Jio*.vue (15).
Build artifacts regenerated: assets/css/build, assets/js/runtime,
assets/admin/build.

Verified: audit-psr4-paths errors=0, audit-admin-contracts errors=0
(warnings=56, unchanged baseline), 813/813 widget-system tests,
44/44 phpunit, php -l clean across all PHP.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>

inc/helpers/jio-auth-ui.php

@@ -0,0 +1,91 @@
+<?php
+/**
+ * Auth frontend presentation helpers.
+ *
+ * @package Jio
+ */
+
+defined('ABSPATH') || exit;
+
+if (!function_exists('jio_get_auth_agreement_view')) {
+    /**
+     * Build user-agreement checkbox contract for full-page and modal auth.
+     *
+     * @return array{enabled:bool,required:bool,label_html:string,field_name:string}
+     */
+    function jio_get_auth_agreement_view(): array {
+        $enabled  = false;
+        $privacy_enabled = false;
+        $required = false;
+        $page_ref = '';
+		$privacy_ref = '';
+
+        if (class_exists('\Jio\Settings\Settings') && method_exists('\Jio\Settings\Settings', 'user_agreement_settings')) {
+            $cfg = \Jio\Settings\Settings::user_agreement_settings();
+            $enabled  = !empty($cfg['enabled']);
+			$privacy_enabled = !empty($cfg['privacy']);
+            $required = !empty($cfg['required']);
+            $page_ref = (string) ($cfg['page'] ?? '');
+			$privacy_ref = (string) ($cfg['privacy_page'] ?? '');
+        }
+
+        $url = '';
+        if ($page_ref !== '') {
+            if (ctype_digit($page_ref)) {
+                $permalink = get_permalink((int) $page_ref);
+                if (is_string($permalink) && $permalink !== '') {
+                    $url = $permalink;
+                }
+            } else {
+                $url = esc_url_raw($page_ref);
+            }
+        }
+
+		$privacy_url = '';
+		if ($privacy_ref !== '') {
+			$privacy_url = ctype_digit($privacy_ref) ? (string) get_permalink((int) $privacy_ref) : esc_url_raw($privacy_ref);
+		}
+		$links = [];
+		if ($enabled) {
+			$links[] = $url !== '' ? sprintf('<a href="%s" target="_blank" rel="noopener noreferrer">%s</a>', esc_url($url), esc_html__('用户协议', 'jio')) : esc_html__('用户协议', 'jio');
+		}
+		if ($privacy_enabled) {
+			$links[] = $privacy_url !== '' ? sprintf('<a href="%s" target="_blank" rel="noopener noreferrer">%s</a>', esc_url($privacy_url), esc_html__('隐私协议', 'jio')) : esc_html__('隐私协议', 'jio');
+		}
+		$label_html = esc_html__('我已阅读并同意', 'jio') . implode(esc_html__('和', 'jio'), $links);
+
+        return [
+			'enabled'    => $enabled || $privacy_enabled,
+            'required'   => $required,
+            'label_html' => $label_html,
+            'field_name' => 'agree_terms',
+        ];
+    }
+}
+
+if (!function_exists('jio_get_auth_sign_logo_html')) {
+    /**
+     * Shared logo block for full-page sign shell.
+     */
+    function jio_get_auth_sign_logo_html(): string {
+        $logo_url = class_exists('\Jio\Settings\Settings') ? \Jio\Settings\Settings::user_logo_url() : '';
+		$logo_dark_url = class_exists('\Jio\Settings\Settings') ? \Jio\Settings\Settings::user_logo_dark_url() : $logo_url;
+        $home = home_url('/');
+        $name = get_bloginfo('name');
+        if ($logo_url) {
+            return sprintf(
+				'<a href="%s"><img class="sign-logo-light" src="%s" alt="%s"><img class="sign-logo-dark" src="%s" alt="%s"></a>',
+                esc_url($home),
+                esc_url($logo_url),
+				esc_attr($name),
+				esc_url($logo_dark_url),
+				esc_attr($name)
+            );
+        }
+        return sprintf(
+            '<a href="%s" class="sign-logo__text">%s</a>',
+            esc_url($home),
+            esc_html(mb_substr((string) $name, 0, 2))
+        );
+    }
+}