wpian-help-1.php

<?php
$paged = get_query_var('paged') ? get_query_var('paged') : 1;
$args  = array(
    'post_type'           => 'post',
    'paged'               => $paged,
    'post__not_in'        => get_option( 'sticky_posts' ),
    'ignore_sticky_posts' => true,
    'tax_query'           => array(
        array(
            'taxonomy' => 'post_format',
            'field'    => 'slug',
            'terms'    => 'post-format-video',
            'operator' => 'NOT IN',
        ) )
    );

if ( 1 == $paged ) {
    $args['offset'] = 3;
}

$my_query = new WP_Query( $args );

wpian-help-solution.php

<?php
$paged = get_query_var('paged') ? get_query_var('paged') : 1;
$args  = array(
    'post_type'           => 'post',
    'paged'               => $paged,
    'post__not_in'        => get_option( 'sticky_posts' ),
    'ignore_sticky_posts' => true,
    'offset'              => 3 + ( $paged - 1 ) * get_option( 'posts_per_page' )
    'tax_query'           => array(
        array(
            'taxonomy' => 'post_format',
            'field'    => 'slug',
            'terms'    => 'post-format-video',
            'operator' => 'NOT IN',
        ) )
    );

$my_query = new WP_Query( $args );