well, i watched the livestream for a couple of minutes. seems the printers frame is quite weak at all.
may be you try to get the frame more rigid.(looks like made from plywood so it should be easy makeable)
for the pen test may be its better just to send some manual commands
f.e. on a low feedrate
G1 X0 Y0 F1000
G1 X200 ( i don´t know your max numbers so i just guessed)
G1 Y200
G1 X0
G1 Y0
that should draw a perfect square