
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 $\{a_n\}$ where $S_n$ denotes the sum of the first $n$ terms, and it is known that $a_n > 0$, and the following holds for all $n \in \mathbb{N}^*$:
$$a_n^2 - 2S_n = 2 - a_n.$$
(I) Find the general formula for the sequence $\{a_n\}$.
(II) Let $b_n = \frac {3}{a_{2n}a_{2n+2}}$, 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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