A player has reported that she tested this solution and it works.
One Weird Trick
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| . . . - - . 0 . . - - . . ^ ^ . |
- - . 0 . . . . 0 . 0 . . . - - ^ |
| . 0 0 . . - - 0 . 0 . . | | ^ |
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Label the Boulders
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| . . . - - . G . . - - . . ^ ^ . |
- - . A . . . . H . K . . . - - ^ |
| . B C . . - - J . L . . | | ^ |
| . . . D . . | . . . - - - | ^ |
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| . E | . . . | | ^ |
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- - F . . . | - - - - . . |
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Step One: East Area
  1. Push D one tile north.
  2. Push J two tiles north.
  3. Push K east and take it.
  4. Push L one north and take it.
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| . . . - - . G . J - - . . . . . |
- - . A . . . . H . . . . . - - ^ |
| . B C D . - - . . . . . | | ^ |
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| . E | . . . | | ^ |
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- - F . . . | - - - - . . |
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Step Two: West Area
  1. Push H east and take it.
  2. Take A the same way.
  3. Push B one north and take it.
  4. Take C and D the same way.
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| . . . - - . G . J - - . . . . . |
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- - F . . . | - - - - . . |
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Step Three: Finish
  1. Push J one south and take it.
  2. Push E north and take it.
  3. Take F the same way.
  4. Nudge G east to check under it.
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