
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 that the sum of the first $n$ terms of the sequence ${a_n}$ is $S_n$, and $S_n = 2a_n - 2$.
(I) Find the general term formula for the sequence ${a_n}$;
(II) Suppose the sum of the first $n$ terms of the sequence ${b_n}$ is $T_n$, $b_1 = 1$, and the point $(T_{n+1}, T_n)$ is on the line $\frac{x}{n+1} - \frac{y}{n} = \frac{1}{2}$. If there exists $n \in \mathbb{N_+}$ such that the inequality $\frac{2b_1}{a_1} + \frac{2b_2}{a_2} + \dots + \frac{2b_n}{a_n} \geq m$ holds, find the maximum value of the real number $m$.

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