
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
The points $B(0, 0)$, $I(3, 3)$, and $G(6, 0)$ form triangle $BIG$ in the standard rectangular coordinate system. Triangle $BIG$ is translated three units to the left and four units upward to triangle $B'I'G'$ such that $B'$ corresponds to $B$, $I'$ corresponds to $I$, and $G'$ corresponds to $G$. What is the midpoint of segment $B'G'$? Express your answer as an ordered pair.

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