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 (
    13026, 13025, 13024, 13023, 13022, 13021, 
    13020, 13019, 13018, 13017, 13016, 
    13015, 13014, 13013, 13012, 13011, 
    13010, 13009, 13008, 13007
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00106

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": 20,
      "filtered": 100,
      "index_condition": "cscart_products_categories.product_id in (13026,13025,13024,13023,13022,13021,13020,13019,13018,13017,13016,13015,13014,13013,13012,13011,13010,13009,13008,13007)"
    },
    "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
13007 1682,301M
13008 1682,301M
13009 1682,301M
13010 1682,301M
13011 1682,301M
13012 1682,301M
13013 301,1683M
13014 1683,301M
13015 301,1683M
13016 301,1683M
13017 301,1683M
13018 301,1683M
13019 301,1683M
13020 301,1683M
13021 301,1683M
13022 301,1683M
13023 301,1683M
13024 301,1683M
13025 301,1683M
13026 301,1683M