Check if your bird is a CITES app. 1 or 2 as well. Taiwan follows CITES.
|CCC 號列|貨 名|號列實施|輸入規定|輸出規定|
|0106.32.00.00-5|鸚鵡目(包括鸚鵡、長尾鸚鵡、金剛鸚鵡、鳳頭鸚鵡)
Psittaciformes (including parrots, parakeets, macaws and cockatoos)|092/12/19|B01|B01|
Ok I see now. Everything under Psittaciformes > parrots which includes cockatiels. According to the bulletin, there is a path but the Trade Bureau has to agree to it.