How do I wrap this?

If pc-pvt-content supports nested shortcodes, then I think you could wrap the_aiovg_player() inside a custom shortcode. Something like this,

// In your theme functions.php
if ( ! shortcode_exists( 'the_aiovg_player' ) && function_exists( 'the_aiovg_player' ) ) {
  function myprefix_the_aiovg_player_shortocode( $atts ) {
    $id = ( ! empty( $atts['id'] ) && is_numeric( $atts['id'] ) ) ? intval( $atts['id'] ): 0;
    if ( ! $id ) {
      return '';
    }
    return the_aiovg_player( $id );
  }
  add_shortcode( 'the_aiovg_player', 'myprefix_the_aiovg_player_shortocode' );
}

Then you could use the custom shortcode like this,

[pc-pvt-content ..attributes.. ][the_aiovg_player id="123"][/pc-pvt-content]