Hi. I tried printing with overture TPU and have a very similar result. The front-wall bends inwards and deforms. Reducing the print speed helped a bit. Did you solve the problem?
I actually figured out it was not a cooling issue. You can see that your overhangs on the port and cabin are actually good. And when I reduced extrusion temperatures it actually became worse.
From my testing, this defect occurs where extrusion rate changes quickly. I think the elasticity/viscosity of the TPU plays a role.
I found what helped was the following:
Reducing print speeds and accelerations. In particular for outer walls.
Increasing nozzle temperature.
Adjusting PA value.
Extrusion rate smoothing.
In a similar vein, stringing is better with slower retraction/de-retraction speeds.
You will have to do your own testing but I found making following changes impactful:
Extrusion temperature from default 230 → 250ºC
Outer wall speed at 50 mm/s with 2000 mm/s^2 acceleration
PA = 0.068
Extrusion rate smoothing 300 mm^3/s^2
Reduce retraction speed & de-retraction speed from default 30 mm/s to 10 mm/s