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 
FROM 
  cscart_products_categories 
  INNER JOIN cscart_categories ON cscart_categories.category_id = cscart_products_categories.category_id 
  AND cscart_categories.storefront_id IN (0, 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') 
WHERE 
  cscart_products_categories.product_id IN (
    10180, 10179, 12633, 12632, 15744, 15736, 
    15737, 15738, 15739, 15740, 15741, 
    15742, 15743, 15745, 15746, 10747, 
    10748, 10749, 10750, 10751
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00059

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": 99,
      "filtered": 100,
      "index_condition": "cscart_products_categories.product_id in (10180,10179,12633,12632,15744,15736,15737,15738,15739,15740,15741,15742,15743,15745,15746,10747,10748,10749,10750,10751)"
    },
    "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": ["noframes_angrybeaver.cscart_products_categories.category_id"],
      "rows": 1,
      "filtered": 100,
      "attached_condition": "cscart_categories.storefront_id in (0,1) 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
10179 1674M
10180 1674M
10747 1677M
10748 1677M
10749 1677M
10750 1677M
10751 1677M
12632 277,278,267M
12633 277,278,267M
15736 301,1673M
15737 301,1673M
15738 301,1673M
15739 1673,301M
15740 301,1673M
15741 301,1673M
15742 1673,301M
15743 301,1673M
15744 301,1673M
15745 301,1673M
15746 301,1673M