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 (
    29891, 29892, 29893, 29894, 29895, 29896, 
    29897, 29898, 29899, 29900, 29901, 
    29902, 29903, 29904, 29905, 29906
  ) 
GROUP BY 
  q_products_categories.product_id

Query time 0.00075

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "88.81"
    },
    "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": 28,
            "rows_produced_per_join": 28,
            "filtered": "100.00",
            "index_condition": "(`portal`.`q_products_categories`.`product_id` in (29891,29892,29893,29894,29895,29896,29897,29898,29899,29900,29901,29902,29903,29904,29905,29906))",
            "cost_info": {
              "read_cost": "49.61",
              "eval_cost": "5.60",
              "prefix_cost": "55.21",
              "data_read_per_join": "448"
            },
            "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": 5,
            "filtered": "20.00",
            "cost_info": {
              "read_cost": "28.00",
              "eval_cost": "1.12",
              "prefix_cost": "88.81",
              "data_read_per_join": "14K"
            },
            "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
29891 249M
29892 532M
29893 266M
29894 435M
29895 269M
29896 509M
29897 189M
29898 565M
29899 271M
29900 269M
29901 493M
29902 459M
29903 251M
29904 204M
29905 204M
29906 459M