SELECT 
  * 
FROM 
  cscart_logos 
WHERE 
  IF(
    layout_id = 0, 
    1, 
    IF(layout_id = 6, 1, 0)
  ) 
  AND IF(
    style_id = '', 
    1, 
    IF(style_id = 'apice', 1, 0)
  ) 
  AND company_id = 1

Query time 0.00056

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_logos",
      "access_type": "ALL",
      "rows": 30,
      "filtered": 100,
      "attached_condition": "((`_testcscart`.`cscart_logos`.`company_id` = 1) and if((`_testcscart`.`cscart_logos`.`layout_id` = 0),1,if((`_testcscart`.`cscart_logos`.`layout_id` = 6),1,0)) and if((`_testcscart`.`cscart_logos`.`style_id` = ''),1,if((`_testcscart`.`cscart_logos`.`style_id` = 'apice'),1,0)))"
    }
  }
}