
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Three of the vertices of parallelogram $EFGH$ are $E = (1,3,-2),$ $F = (0,1,2),$ and $G = (2,0,-3).$ Determine the coordinates of vertex $H.$

Present the answer in LaTex format: \boxed{Your answer}
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