If you consider all aspects of the verse cited in OP and the video, you will see that brahman cannot be separate from anything and yet it cannot be any object. It has to be unborn, uncreated, and homogeneous ... and distinct from the phenomena. Intrinsically, there cannot be any subject-object division, though.
And doesn't that very well describe existence itself? The universe throughout space and time asn an entity?
Yes.
I do not know why you get the 'pantheism'.
Advaita Vedanta is very different from 'pantheism'. It is called called 'non dualism' (and not monism). The equivalent philosophical-psychological-scientific term that describes the system best is 'Dual Aspect Monism'.
https://pdfs.semanticscholar.org/408b/55a0421223fbe8217a34d7621fd5ebbc349f.pdf
Double-aspect theory - Wikipedia
Pantheism as 'the universe is God'.
Monism, dualism, etc are words that don't seem significant to me. Is pressure of a different nature than matter? The question itself seems silly. The same for mind/matter.