
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 a sequence $\{a_n\}$ with its first $n$ terms sum $S_n$, and $S_n = 2a_n - 2$ for all $n \in \mathbb{N}^*$.

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

(II) Find the sum $T_n$ of the first $n$ terms of the sequence $\{S_n\}$.

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