
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
Given the function $f(x)=3\sin (2x+\theta)$ with the restriction $(-\frac{\pi}{2} < \theta < \frac{\pi}{2})$, its graph is shifted to the right by $\phi (\phi > 0)$ units to obtain the graph of function $g(x)$. If the graphs of both $f(x)$ and $g(x)$ pass through point $P(0, \frac{3 \sqrt{2}}{2})$, determine the value of $\phi$.

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