
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 an arithmetic sequence $\{a_n\}$, let $(S_n)$ denote the sum of its first $n$ terms. Given that $a_5=10$ and $S_7=56$.

(I) Find the general term formula of the sequence $\{a_n\}$.

(II) If $\{b_n\} = \{a_n + (\sqrt{3})^{a_n}\}$, find the sum of the first $n$ terms of the sequence $\{b_n\}$, denoted as $(T_n)$.

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