
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
Given the function $f(x)={a}^{2-x}-\frac{3}{4}$ ($a \gt 0$ and $a\neq 1$), whose graph always passes through a fixed point $A$, if the graph of the power function $y=g\left(x\right)$ also passes through this point, then $g(\frac{1}{2})=\_\_\_\_\_\_$.

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