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SELECT 
  count(*) as counts_tag, 
  tag_id, 
  tag 
FROM 
  cscart_tags 
  INNER JOIN cscart_tag_links USING (tag_id) 
  INNER JOIN cscart_products ON cscart_tag_links.object_id = cscart_products.product_id 
WHERE 
  object_type = 'P' 
  AND cscart_tags.status = 'A' 
  AND cscart_products.product_id IN (
    '62370', '60925', '60431', '62371'
  ) 
GROUP BY 
  tag

Query time 0.00057

JSON explain

{
  "query_block": {
    "select_id": 1,
    "message": "no matching row in const table"
  }
}