
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
A function \( g \) is defined such that \( g(4x) = 4g(x) \) for all positive real values of \( x \), and \( g(x) = 2 - |x - 3| \) for \( 2 \leq x \leq 4 \). Find the smallest \( x \) for which \( g(x) = g(2023) \).

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