Her K3s in row 1 are what we western knitters would call a k3tbl.
Also, she wraps the yarn clockwise (eastern method) rather than counterclockwise (western method).
Can't tell for sure what she does when she purls on row 2 as it was too fast. But she appears to do the K3s again as k3tbl.
However, on row 3 the Ks within the row are done the usual way (front loop, counterclockwise wrap), and only the selvedge sts are done as ktbl with clockwise wraps. (Note she is only working 19 sts in the video, not 35 as called for in the pattern)
Given the scarf's name, Maos' Little Red Scarf, and the yarn, Pagoda, maybe she wants to be using these eastern techniques, and just has written them incorrectly in the pattern.
Based on what I saw in the video, my interpretation of the pattern repeat would be...
Row 1: (K3tbl, slip next 5 sts with yarn in front) repeat to last 3 sts, K3tbl
Row 2: (K3tbl, P5) repeat to last 3 sts, K3tbl
Row 3: K3tbl, (K2, pu, K3) repeat to last 3 sts, K3tbl
Row 4: (K3tbl, P5) repeat to last 3 sts, K3tbl