SELECT 
  video_id, 
  product_id 
FROM 
  cscart_ab__video_gallery 
WHERE 
  product_id IN (
    276707, 276708, 276709, 276710, 276711, 
    276712, 276713, 276714, 276715, 276716, 
    277911, 51603, 119291, 243684, 275040, 
    277101, 277987
  ) 
  AND status = "A"

Query time 0.00068

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "0.35"
    },
    "table": {
      "table_name": "cscart_ab__video_gallery",
      "access_type": "ref",
      "possible_keys": [
        "status",
        "product_id"
      ],
      "key": "status",
      "used_key_parts": [
        "status"
      ],
      "key_length": "3",
      "ref": [
        "const"
      ],
      "rows_examined_per_scan": 1,
      "rows_produced_per_join": 1,
      "filtered": "100.00",
      "cost_info": {
        "read_cost": "0.25",
        "eval_cost": "0.10",
        "prefix_cost": "0.35",
        "data_read_per_join": "80"
      },
      "used_columns": [
        "video_id",
        "product_id",
        "status"
      ],
      "attached_condition": "(`s2cart`.`cscart_ab__video_gallery`.`product_id` in (276707,276708,276709,276710,276711,276712,276713,276714,276715,276716,277911,51603,119291,243684,275040,277101,277987))"
    }
  }
}

Result

video_id product_id
2 275040