
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 two unit vectors on a plane, with $a \cdot b = \frac{3}{5}$. If $m \in \mathbb{R}$, find the minimum value of $|a + mb|$.

A) $\frac{3}{4}$
B) $\frac{4}{3}$
C) $\frac{4}{5}$
D) $\frac{5}{4}$

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