SELECT 
  video_id, 
  product_id 
FROM 
  cscart_ab__video_gallery 
WHERE 
  product_id IN (
    801, 802, 861, 613, 617, 627, 628, 630, 
    640, 652, 657, 663
  )

Query time 0.00029

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "1.20"
    },
    "table": {
      "table_name": "cscart_ab__video_gallery",
      "access_type": "index",
      "possible_keys": [
        "product_id"
      ],
      "key": "product_id",
      "used_key_parts": [
        "product_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 1,
      "rows_produced_per_join": 1,
      "filtered": "100.00",
      "using_index": true,
      "cost_info": {
        "read_cost": "1.00",
        "eval_cost": "0.20",
        "prefix_cost": "1.20",
        "data_read_per_join": "64"
      },
      "used_columns": [
        "video_id",
        "product_id"
      ],
      "attached_condition": "(`eshopuga_upgr_4122`.`cscart_ab__video_gallery`.`product_id` in (801,802,861,613,617,627,628,630,640,652,657,663))"
    }
  }
}