This Seeking Tech guide will explain how you can beat the Armored Hardcore level of Astro Bot. Doing so will unlock the Bearly Rescued trophy.
Use the following video as a visual aide:
For the first section, you can jump normally from the first metal platform to the third, before turning into a ball.
Afterwards, hover to the right to avoid the enemy and then turn into a ball to safely land on the spikes.
You then need to quickly make your way through while jumping across the small gaps.
In the next area, jump and hover to the right to avoid the first two enemies. You then need to quickly jump and hover to the left to avoid the third one.
Next, avoid the flames while jumping on the two metal platforms.
Afterwards, quickly move through the next platform to avoid the two enemies.
When you land on the next platform, quickly jump and hover to the left to avoid the volcano enemy.
Afterwards, use a spin attack to remove the screw when you see an opening.
You can then use the snowy mountain to move on.
For the next section, roll in between the left screw enemy and the middle screw. When you see an opening, use a spin attack to defeat the enemy and unlock the snowy mountain that leads to the exit.