[Resolved] Google Site Search/Custom Search implementation

How would you best recommend I integrate Google Site Search into the GP theme?

I currently have a custom search implementation for DigitalGov (the Federal search engine that was originally provided to state and local agencies), but that service is being shut off as of Feb 28, so I’ll need to switch to something else soon! That will likely be Google Site Search.

For reference, you’d directed me to insert the following into my functions.php to make DigitalGov work. It looks like it’s 1) code to disable the built-in search, then 2) the custom code from DigitalGov. How would I do this with Google Site Search?

<?php
 
/**
 * Changes the nav to be usa search
 */
if ( ! function_exists( 'generate_remove_default_navigation_search' ) ) :
	add_action( 'after_setup_theme','generate_remove_default_navigation_search' );
	function generate_remove_default_navigation_search()
	{
		remove_action( 'generate_inside_navigation','generate_navigation_search');
	}
endif;

if ( ! function_exists( 'generate_usasearch_navigation_search' ) ) :
	add_action( 'generate_inside_navigation','generate_usasearch_navigation_search');
	function generate_usasearch_navigation_search()
	{
		$generate_settings = wp_parse_args( 
			get_option( 'generate_settings', array() ), 
			generate_get_defaults() 
		);
		
		if ( 'enable' !== $generate_settings['nav_search'] )
			return;
			
		?>
		<form accept-charset="UTF-8" role="search" method="get" id="search_form" class="search-form navigation-search" action="http://search.usa.gov/search">
<div style="margin:0;padding:0;display:inline">
    <input name="utf8" type="hidden" value="✓" /></div>
    <input id="affiliate" name="affiliate" type="hidden" value="morriscountynjgovernment" />
<label class="screen-reader-text" for="query">Enter Search Term(s):</label>
			<input type="search" class="search-field" id="query" name="query" >
			<input type="hidden" name="submit" value="Search" name="commit" />
		</form>
 
		<?php
	}
endif;
?>