Fetch posts from current week (Sunday to Saturday)

You can try:

'date_query' => array(
    array(
        'year' => date( 'Y' ),
        'week' => strftime( '%U' ),
    ),
 ),

where %U is:

Week number of the given year, starting with the first Sunday as the
first week

or

'date_query' => array(
    array(
        'after' => strtotime( 'last Sunday' ),
    ),
 ),

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