SELECT 
  cscart_products_categories.product_id, 
  GROUP_CONCAT(
    IF(
      cscart_products_categories.link_type = "M", 
      CONCAT(
        cscart_products_categories.category_id, 
        "M"
      ), 
      cscart_products_categories.category_id
    )
  ) AS category_ids, 
  product_position_source.position AS position 
FROM 
  cscart_products_categories 
  INNER JOIN cscart_categories ON cscart_categories.category_id = cscart_products_categories.category_id 
  AND cscart_categories.company_id = 1 
  AND (
    cscart_categories.usergroup_ids = '' 
    OR FIND_IN_SET(
      0, cscart_categories.usergroup_ids
    ) 
    OR FIND_IN_SET(
      1, cscart_categories.usergroup_ids
    )
  ) 
  AND cscart_categories.status IN ('A', 'H') 
  LEFT JOIN cscart_products_categories AS product_position_source ON cscart_products_categories.product_id = product_position_source.product_id 
  AND product_position_source.category_id = 1888 
WHERE 
  cscart_products_categories.product_id IN (
    62060, 62230, 64351, 59417, 64350, 61468, 
    61461, 63431, 62660, 59877, 61453, 
    62977
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00082

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_products_categories",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "pt"],
      "key": "pt",
      "key_length": "3",
      "used_key_parts": ["product_id"],
      "rows": 61,
      "filtered": 100,
      "attached_condition": "cscart_products_categories.product_id in (62060,62230,64351,59417,64350,61468,61461,63431,62660,59877,61453,62977)",
      "using_index": true
    },
    "table": {
      "table_name": "product_position_source",
      "access_type": "eq_ref",
      "possible_keys": ["PRIMARY", "pt"],
      "key": "PRIMARY",
      "key_length": "6",
      "used_key_parts": ["category_id", "product_id"],
      "ref": ["const", "cscart_migrate.cscart_products_categories.product_id"],
      "rows": 1,
      "filtered": 100
    },
    "table": {
      "table_name": "cscart_categories",
      "access_type": "eq_ref",
      "possible_keys": ["PRIMARY", "c_status", "p_category_id"],
      "key": "PRIMARY",
      "key_length": "3",
      "used_key_parts": ["category_id"],
      "ref": ["cscart_migrate.cscart_products_categories.category_id"],
      "rows": 1,
      "filtered": 100,
      "attached_condition": "cscart_categories.company_id = 1 and (cscart_categories.usergroup_ids = '' or find_in_set(0,cscart_categories.usergroup_ids) or find_in_set(1,cscart_categories.usergroup_ids)) and cscart_categories.`status` in ('A','H')"
    }
  }
}

Result

product_id category_ids position
59417 1543,1613,1704,1890M
59877 1603,1604,1614,1704,1705,1708,1890,1905,2001,1894M
61453 2010M
61461 2010M
61468 2010M
62060 1542,1616,1701,1889M
62230 1544,1611,1660,1705,1821,2003,1894M
62660 1607,1609,1644,1703,1708,1905,2001,1892M
62977 1547,1607,1703,1756,2002,1892M
63431 1544,1547,1659,1704,1705,1756,1827,1883,1890,2002,1894M
64350 1543,1611,1613,1704,1748,2003,1890M
64351 2010M