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 (
    45571, 45740, 45741, 45742, 45743, 45744, 
    45745, 45746, 45747, 45748, 45749, 
    45750, 45751, 45752, 45753, 45754, 
    45755, 45756, 45757, 45758
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00131

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_products_categories",
          "access_type": "range",
          "possible_keys": ["PRIMARY", "pt"],
          "key": "pt",
          "key_length": "3",
          "used_key_parts": ["product_id"],
          "rows": 40,
          "filtered": 100,
          "index_condition": "cscart_products_categories.product_id in (45571,45740,45741,45742,45743,45744,45745,45746,45747,45748,45749,45750,45751,45752,45753,45754,45755,45756,45757,45758)"
        }
      },
      {
        "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": ["dev_db.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
45571 166,169M
45740 166,169M
45741 166,169M
45742 166,169M
45743 166,169M
45744 166,169M
45745 166,169M
45746 166,169M
45747 166,169M
45748 166,169M
45749 166,169M
45750 166,169M
45751 166,169M
45752 166,169M
45753 166,169M
45754 166,169M
45755 166,169M
45756 166,169M
45757 166,169M
45758 166,169M