
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
Let $g(x)$ be a function defined for all positive real numbers satisfying $g(x) > 0$ for all $x > 0$ and
\[ g(x - y) = \sqrt{g(xy) + 3} \]
for all $x > y > 0$. Determine $g(2023)$.

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