
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
(1) Let $z \in \mathbb{C}$, and $z + | \overline{z} | = 2 + i$. Find $z$.  
(2) Given the curve $y = \frac{1}{3}x^3 + \frac{4}{3}$. Find the equation of the tangent line to the curve at point P(2, 4).

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