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 = 1887 
WHERE 
  cscart_products_categories.product_id IN (
    62665, 64301, 62018, 64902, 62625, 29983, 
    64735, 64944, 64756, 62575, 64903, 
    63344
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00096

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": 68,
      "filtered": 100,
      "attached_condition": "cscart_products_categories.product_id in (62665,64301,62018,64902,62625,29983,64735,64944,64756,62575,64903,63344)",
      "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
29983 1676,1917,1573M
62018 1542,1621,1625,1701,1889M
62575 1531,1761,1832,1899M
62625 1541,1614,1642,1700,2002,1891M
62665 2010M
63344 1531,1832,2003,1899M
64301 1627,1835,2001,1907M
64735 1543,1603,1616,1704,1708,1905,2001,1890M
64756 1530,1602,1630,1697,1707,1906,2001,1897M
64902 1547,1607,1703,1759,1827,1883,2002,1892M
64903 1547,1607,1703,1759,1892,2002M
64944 1522,1542,1630,1701,1739,1743,1884,1886,1889M