SELECT 
  q_products_categories.product_id, 
  GROUP_CONCAT(
    IF(
      q_products_categories.link_type = "M", 
      CONCAT(
        q_products_categories.category_id, 
        "M"
      ), 
      q_products_categories.category_id
    )
  ) AS category_ids 
FROM 
  q_products_categories 
  INNER JOIN q_categories ON q_categories.category_id = q_products_categories.category_id 
  AND (
    q_categories.usergroup_ids = '' 
    OR FIND_IN_SET(0, q_categories.usergroup_ids) 
    OR FIND_IN_SET(1, q_categories.usergroup_ids)
  ) 
  AND q_categories.status IN ('A', 'H') 
WHERE 
  q_products_categories.product_id IN (
    29843, 29844, 29845, 29846, 29847, 29848, 
    29849, 29850, 29851, 29852, 29853, 
    29854, 29855, 29856, 29857, 29858
  ) 
GROUP BY 
  q_products_categories.product_id

Query time 0.00071

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "73.21"
    },
    "grouping_operation": {
      "using_filesort": false,
      "nested_loop": [
        {
          "table": {
            "table_name": "q_products_categories",
            "access_type": "range",
            "possible_keys": [
              "PRIMARY",
              "pt"
            ],
            "key": "pt",
            "used_key_parts": [
              "product_id"
            ],
            "key_length": "3",
            "rows_examined_per_scan": 22,
            "rows_produced_per_join": 22,
            "filtered": "100.00",
            "index_condition": "(`portal`.`q_products_categories`.`product_id` in (29843,29844,29845,29846,29847,29848,29849,29850,29851,29852,29853,29854,29855,29856,29857,29858))",
            "cost_info": {
              "read_cost": "42.41",
              "eval_cost": "4.40",
              "prefix_cost": "46.81",
              "data_read_per_join": "352"
            },
            "used_columns": [
              "product_id",
              "category_id",
              "link_type"
            ]
          }
        },
        {
          "table": {
            "table_name": "q_categories",
            "access_type": "eq_ref",
            "possible_keys": [
              "PRIMARY",
              "c_status",
              "p_category_id"
            ],
            "key": "PRIMARY",
            "used_key_parts": [
              "category_id"
            ],
            "key_length": "3",
            "ref": [
              "portal.q_products_categories.category_id"
            ],
            "rows_examined_per_scan": 1,
            "rows_produced_per_join": 4,
            "filtered": "20.00",
            "cost_info": {
              "read_cost": "22.00",
              "eval_cost": "0.88",
              "prefix_cost": "73.21",
              "data_read_per_join": "11K"
            },
            "used_columns": [
              "category_id",
              "usergroup_ids",
              "status"
            ],
            "attached_condition": "(((`portal`.`q_categories`.`usergroup_ids` = '') or find_in_set(0,`portal`.`q_categories`.`usergroup_ids`) or find_in_set(1,`portal`.`q_categories`.`usergroup_ids`)) and (`portal`.`q_categories`.`status` in ('A','H')))"
          }
        }
      ]
    }
  }
}

Result

product_id category_ids
29843 419M
29844 454M
29845 368,369M
29846 572M
29847 370M
29848 565M
29849 419M
29850 419M
29851 383M
29852 419M
29853 597M
29854 204M
29855 565M
29856 572M
29857 560M
29858 68M