
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 the function $f(x)=\begin{cases} 2^{x}+\int_{0}^{1}{3(\sqrt{x}-x^{2})dx} & (x\geqslant 4) \\ f(x+2) & (x < 4) \end{cases}$. Evaluate the expression $f(\log_{2}3)$.

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