WWW::Mechanize::Chrome can move and resize the browser window as well:

$mech->target->send_message('Browser.setWindowBounds',
    windowId => $window_info->{windowId},
    bounds => {
        'height' => 1600,
        'top' => 0,
        'width' => 2560,
        'left' => 0,
    },
)->get;
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