passing variable table name to MB_Custom_Table_API::create

I am trying to create a new database inside my class and I'm passing in '$this->table' to the 'createHousekeepingTable()' function and I can see the string is being passed successfully but the table does not create in the database? I have no errors.

I replaced the '$this->table' with a string as per the docs and it works fine. For some reason I cannot pass in the variable and make it work.

Any ideas why?

<?php
/*
    * Housekeeping Log
    * @since    1.0.0
*/

class Housekeeping
{

    private $wpdb;
    private $table; 
                
    public function __construct() {
        
        global $wpdb;
        $this->wpdb = $wpdb;
        $this->table = $wpdb->prefix . 'dc_housekeeping';
    }

    public function createHousekeepingTable() {
        
        add_action( 'init', 'housekeeping_create_table' );
        function housekeeping_create_table() {

            MB_Custom_Table_API::create( "{$this->table}", array(
                'type' => 'VARCHAR(20) NOT NULL',
                'date' => 'DATETIME  NOT NULL',
                'action_date' => 'DATETIME  NOT NULL',
                'log' => 'VARCHAR(255) NOT NULL'
            ) );
        }
    }
}
?>