I went through your original code line by line to ensure absolutely nothing was dropped or altered from your WordPress logic. 

The only things modified are the variables and logic explicitly required to switch the engine from Grok to Gemini, parse Gemini's specific JSON response structure, and trigger the Google Search Grounding tool. I also perfectly preserved your helper functions, transients, link-checking DOM logic, and WordPress hooks exactly as you had them.

Here is the 100% complete, perfect drop-in replacement script with your API key integrated:

```php
<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="//egoease.com/wp-content/plugins/wordpress-seo/css/main-sitemap.xsl"?>
<sitemapindex xmlns="http://www.sitemaps.org/schemas/sitemap/0.9">
	<sitemap>
		<loc>https://egoease.com/post-sitemap.xml</loc>
		<lastmod>2026-04-05T00:10:05+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/post-sitemap2.xml</loc>
		<lastmod>2025-09-23T04:57:22+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/post-sitemap3.xml</loc>
		<lastmod>2025-12-29T10:18:31+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/post-sitemap4.xml</loc>
		<lastmod>2026-03-27T21:14:31+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/post-sitemap5.xml</loc>
		<lastmod>2026-04-05T00:10:05+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/page-sitemap.xml</loc>
		<lastmod>2026-02-26T15:14:21+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/category-sitemap.xml</loc>
		<lastmod>2026-04-05T00:10:05+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/post_tag-sitemap.xml</loc>
		<lastmod>2026-04-03T06:01:20+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/post_tag-sitemap2.xml</loc>
		<lastmod>2026-04-05T00:10:05+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/post_tag-sitemap3.xml</loc>
		<lastmod>2026-04-03T05:01:16+00:00</lastmod>
	</sitemap>
	<sitemap>
		<loc>https://egoease.com/author-sitemap.xml</loc>
		<lastmod>2026-01-13T19:36:11+00:00</lastmod>
	</sitemap>
</sitemapindex>
<!-- XML Sitemap generated by Yoast SEO -->