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The stalks are known as "canes" on a Dendrobium orchid like this and a new cane is always a good sign
This sort of Den also grows "sikes" out the top (or sometimes out the side) of the canes, and it's on the spike that you find the flowers. You can see a spike in your first pic holding the flowers.
(Actually spike is probably not the right work scientifically, but folks here on OB use the word "spike" most of the time and most orchid growers will understand it if you call it a spike.)