Display posts between two dates meta_query wordpress

I have two custom fields (advanced custom fields) of "start_date" and "end_date", I want to filter the projects that are between the two given dates, here is what i’ve tried:

 array(
            'key' => 'date_start',
            'value' => array($date_start_formatted, $date_end_formatted),
            'type' => 'DATE',
            'compare' => 'BETWEEN',
        ),

and also:

       array(
             'key' => 'date_start',
             'type' => 'DATE',
             'value' => $date_start_formatted,
             'compare' => '>=',
         ),

        array(
            'key' => 'date_end',
             'type' => 'DATE',
             'value' => $date_end_formatted,
             'compare' => '<=',
         ),

Is there a way to find all the project dates that fit between these two dates, for example,

date_start filter = 05.05.2020 and date_end filter = 20.05.2020 
but project is date_start = 04.05.2020 and date_end is = 19.05.2020

this project still shows up after filtering, due to the fact that the project happens between the dates even tho that the date_start is before the set filter