What is the actual status of the Dalai Lama in regard of Dhamma-Vinaya?
The 14th Dalai Lama has no standing in the Theravada Buddhist tradition.
However, in the Tibetan Mahayana Buddhist tradition and conforming to the Dharma and Vinaya of Tibetan Buddhism (and in particular, the Gelug school), the 14th Dalai Lama Tenzin Gyatso is:

a Tibetan Buddhist monk
a Tibetan Buddhist lama i.e. a teacher of the Dharma (as taught in Tibetan Buddhism)
a tulku (reincarnate custodian of a specific lineage of teachings)
incarnation of Bodhisattva Avalokiteśvara
head of the Gelug (&quot;Yellow Hat&quot;) school of Tibetan Buddhism

The bodhisattva's achievements in Mahayana Buddhism is measured in bhumi levels. However, it's unclear to me what is the bhumi level of Bodhisattva Avalokiteśvara.