
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
In triangle $DEF$, $\angle E$ is a right angle, $DE=3$, and $EF=4$. The bisector of $\angle DFE$ hits $DE$ at point $G$. Determine the length of segment $DG$.
A) $\frac{4}{3}$
B) $\frac{5}{3}$
C) $\frac{3}{2}$
D) $\frac{2}{3}$

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