
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
Define the odd function $f(x)$ on the interval $[-4, 4]$. It is known that when $x \in [-4, 0]$, $f(x) = \frac{1}{4^x} + \frac{a}{3^x}$ ($a \in \mathbb{R}$).

(1) Find the expression for $f(x)$ on the interval $[0, 4]$.

(2) If for $x \in [-2, -1]$, the inequality $f(x) \leq \frac{m}{2^x} - \frac{1}{3^{x-1}}$ always holds, find the range of values for the real number $m$.

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