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.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') 
WHERE 
  cscart_products_categories.product_id IN (
    796, 801, 802, 617, 627, 630, 674, 844, 
    1091, 1092, 1588, 571
  ) 
GROUP BY 
  cscart_products_categories.product_id

Query time 0.00086

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "51.01"
    },
    "grouping_operation": {
      "using_filesort": false,
      "nested_loop": [
        {
          "table": {
            "table_name": "cscart_products_categories",
            "access_type": "range",
            "possible_keys": [
              "PRIMARY",
              "pt"
            ],
            "key": "pt",
            "used_key_parts": [
              "product_id"
            ],
            "key_length": "3",
            "rows_examined_per_scan": 15,
            "rows_produced_per_join": 15,
            "filtered": "100.00",
            "index_condition": "(`eshopuga_upgr_4122`.`cscart_products_categories`.`product_id` in (796,801,802,617,627,630,674,844,1091,1092,1588,571))",
            "cost_info": {
              "read_cost": "30.01",
              "eval_cost": "3.00",
              "prefix_cost": "33.01",
              "data_read_per_join": "240"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        },
        {
          "table": {
            "table_name": "cscart_categories",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "category_id"
            ],
            "key_length": "3",
            "ref": [
              "eshopuga_upgr_4122.cscart_products_categories.category_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 0,
            "filtered": "5.00",
            "cost_info": {
              "read_cost": "15.00",
              "eval_cost": "0.15",
              "prefix_cost": "51.01",
              "data_read_per_join": "2K"
            },
            "used_columns": [
              "category_id",
              "company_id",
              "usergroup_ids",
              "status"
            ],
            "attached_condition": "((`eshopuga_upgr_4122`.`cscart_categories`.`company_id` = 1) and ((`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids` = '') or find_in_set(0,`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids`) or find_in_set(1,`eshopuga_upgr_4122`.`cscart_categories`.`usergroup_ids`)) and (`eshopuga_upgr_4122`.`cscart_categories`.`status` in ('A','H')))"
          }
        }
      ]
    }
  }
}

Result

product_id category_ids
571 413M
617 424M
627 424M
630 424M
674 428M
796 432,427M
801 432,427M
802 432,427M
844 446M
1091 453M
1092 453M
1588 427M