How to extract specific post

As noted in the documentation meta_value, when not used inside a meta query, needs to be a string.

Normally if you want to query based on multiple meta values you need to add a meta_query argument. But also as noted in the documentation regarding value:

It can be an array only when compare is 'IN', 'NOT IN',
'BETWEEN', or 'NOT BETWEEN'.

Since NOT LIKE isn’t one of these, this means you would need to add multiple NOT LIKE meta queries with an AND relation, like so:

$query = new WP_Query( array(  
    'post_type'   => 'estate',
    'post_status' => 'any',
    'meta_query'  => array(
        'relation' => 'AND',
        array(
            'key'     => 'getrix_id',
            'value'   => 'miogest_',
            'compare' => 'NOT LIKE',
        ),
        array(
            'key'     => 'getrix_id',
            'value'   => 'oneclick_',
            'compare' => 'NOT LIKE',
        ),
        array(
            'key'     => 'getrix_id',
            'value'   => 'gestifiaip_',
            'compare' => 'NOT LIKE',
        ),
    ),  
) );

However this is pretty verbose. A simpler way would be to use NOT REGEXP as the comparison. This will let you pass a regular expression that would return true for any values beginning with miogest_, oneclick_, or gestifiaip_, and then only return results for which that doesn’t return true:

$query = new WP_Query( array(
    'post_type'    => 'estate',
    'post_status'  => 'any',
    'meta_key'     => 'getrix_id'
    'meta_compare' => 'NOT REGEXP',
    'meta_value'   => '^(miogest_|oneclick_|gestifiaip_)',
) );