The teleporting in Level 129 is from the bottom of column to the top of the next. This means that vertical clearing pretty much maintains order, but horizontal lines “scramble” your patterns: Everything will shift down to the left relative to the column to the right of it.
Be wary of isolating a single dot in the bottom right corner and having it surrounded by anchors. You’ll pretty much doom yourself. Try to maintain an escape route in the bottom right corner at all times.
It’s a long way down for the anchors, so completing squares is pretty necessary, but don’t block the exit in your effort to make squares. You’ll then have to make a match of that color dot just to free the anchors.