Try to drop some bombs down to the metal blocks and leave some vine locked blocks above.
Then the blocks below can be slid under the locked blocks.
As bombs and matches remove columns the blocks and Pet will move to the left.
The bombs are random so it is not easy to do!
The best use of the line blasters that fall in the first column is to drop it as low as possible and swipe away the mesh and metal blocks.
The paint you earn within the game can be used to position the line blaster, a bomb, or to paint a whole column one color so it can be removed to slide the pet along.