
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
Let $a$ and $b$ be acute angles such that
\begin{align*}
4 \cos^3 a - 3 \cos^3 b &= 2, \\
4 \cos 2a + 3 \cos 2b &= 1.
\end{align*}
Find $2a + b$, as measured in radians.

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