[est]

This is simple, Dalai Lama by definition, since the beginning of all Dalai Lamas, is appointed by a central government.

Fun fact: The Tibetan monk system is a grand scheme to reduce minority people fertility so ethics population is not a threat to central empire. Search for 黄教 减丁 if you are interested.

[kephra]

So we have two of them: one "appointed" by US, and one by China. For further enlightenment, meditate about the half zero ༳ in Tibetan unicode.

[Tinyyy]

I searched for 黄教 减丁 but all I see are some random Tiebas. Do you have an authoritative source on this?