BuddyPress.org

This question is basically impossible to answer without lots of other information. If your theme has a separate notification count code from the default one that shows up in the toolbar, you can rip that code out of the site and put it elsewhere — if not you’re going to have to learn to code it yourself or hire someone to do it for you.

You could start with searching “how to add buddypress notifications to template”

Have you tried disabling other plugins and re-enabling one by one to see if any are interfering with this functionality?
The basic troubleshooting section may be worth trying at the bottom of https://buddypress.org/support/topic/when-asking-for-support-2/ as a starter then some more info on your setup if this doesn’t help find the issue.

try
https://docs.apppresser.com/article/377-buddypress-profile-links

try
https://docs.apppresser.com/article/377-buddypress-profile-links

Try putting the code that sets $ic_filter_members_interest_id in bp-custom.php or in a separate plugin.

And put it in a function that uses a BP hook.

function set_ic_members_var() {
    //set your global var here
}
add_action( 'bp_ready', 'set_ic_members_var' );

You don’t need the meta_query in your example.

You can use one of these classes:
buddypress\bp-core\classes\class-bp-user-query.php
buddypress\bp-groups\classes\class-bp-group-member-query.php

Using the former class is more verbose but maybe easier to follow at first:

function group_members_counter() {

	$args = array(
		'group_id' 		=> 1,  // bp_get_group_id(), or pass in a group id
		'exclude_admins_mods' 	=> false
	);

	$group_members_result = groups_get_group_members( $args );
	$group_members_ids = array();

	foreach(  $group_members_result['members'] as $member ) {
		$group_members_ids[] = $member->ID;
	}

	echo 'group member ids: ' . implode(", ", $group_members_ids);

	if ( ! empty ( $group_members_ids ) ) {

		$args = array(
			'include' 		=> $group_members_ids,
			'meta_key'		=> 'action_one_total',
			'meta_value'		=> '88',  
			'populate_extras' 	=> false
		);

		$members = new BP_User_Query( $args );

		echo '<br>matching meta count: ' . $members->total_users;

	} else {
		echo 'There are no group members.';

	}

}
add_action( 'bp_ready', 'group_members_counter' );

…deleted the related pages.

Did you try creating pages with the slug that you want and then assigning them to BP components thru the wp-admin > Settings > Buddypress screens?

Good, I do not know if they have already found something but I can indicate some plugins, for the topic of member filters it has this plugin, but I think it does not perform conditional logic but uses all the fields you want for filters

BP Profile Search

then if you want conditional logic in the buddypress log fields you have this plugin

Conditional Profile Fields for BuddyPress