Use publish-docsearch-config-extension

Closes gh-12794

.github/actions/docsearch-config.json.hbs

@@ -1,65 +0,0 @@
-{
-  "index_name": "spring-security-docs",
-  "start_urls": [
-    {{#each latestVersions}}
-    {
-      "url": "{{{@root.site.url}}}/{{#if (eq ./activeVersionSegment '')}}(?:$|index.html$|[a-z].*){{else}}{{{./activeVersionSegment}}}/{{/if}}",
-      "extra_attributes": {
-        "component": "{{#if (eq ./name 'ROOT')}}security{{else}}{{{./name}}}{{/if}}",
-        "version": "{{{./version}}}",
-        "version_rank": {{#if (eq ./activeVersionSegment '')}}1{{else}}2{{/if}}
-      }
-    }{{#unless @last}},{{/unless}}
-    {{/each}}
-  ],
-  "sitemap_urls": [
-    "{{{site.url}}}/sitemap.xml"
-  ],
-  "scrape_start_urls": true,
-  "stop_urls": [
-    {{#each stopPages}}
-    "{{{@root.site.url}}}{{{./pub.url}}}"{{#unless @last}},{{/unless}}
-    {{/each}}
-  ],
-  "selectors": {
-    "default": {
-      "lvl0": {
-        "global": true,
-        "selector": ".nav-panel-explore .context .title, .nav-panel-explore .context .version"
-      },
-      "lvl1": ".doc > h1.page",
-      "lvl2": ".doc .sect1 > h2:first-child",
-      "lvl3": ".doc .sect2 > h3:first-child",
-      "lvl4": ".doc .sect3 > h4:first-child",
-      "text": ".doc p, .doc dt, .doc td.content, .doc th.tableblock"
-    }
-  },
-  "selectors_exclude": [
-    "#section-summary"
-  ],
-  "min_indexed_level": 1,
-  "custom_settings": {
-    "advancedSyntax": true,
-    "attributesForFaceting": [
-      "component",
-      "version"
-    ],
-    "attributesToRetrieve": [
-      "anchor",
-      "content",
-      "hierarchy",
-      "url",
-      "component",
-      "version"
-    ],
-    "attributesToSnippet": [
-      "content:25"
-    ],
-    "customRanking": [
-      "desc(weight.page_rank)",
-      "asc(version_rank)",
-      "desc(weight.level)",
-      "asc(weight.position)"
-    ]
-  }
-}