
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
Generally, if the graph of the function $f(x)$ is symmetric about the point $(a, b)$, then for any $x$ in the domain, $f(x) + f(2a-x) = 2b$ always holds. It is known that the graph of the function $f(x) = \frac{4^x}{4^x + m}$ is symmetric about the point $M\left(\frac{1}{2}, \frac{1}{2}\right)$, then the value of the constant $m$ is \_\_\_\_\_\_.

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