
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 sequence of functions is defined by the formulas:

$$
f_{0}(x) = 2 \sqrt{x}, \quad f_{n+1}(x) = \frac{4}{2 - f_{n}(x)}, \quad n = 0, 1, 2, \ldots, \quad x \in [4, 9]
$$

Find \( f_{2023}(4) \).

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