
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 $\{a_n\}$ where $a_2 + a_6 = 14$ and $S_n$ is the sum of the first $n$ terms, with $S_5 = 25$,
(1) find the general formula for $\{a_n\}$;
(2) let $b_n = \frac{2}{a_n \cdot a_{n+1}}$, find the minimum value of the sum of the first $n$ terms of the sequence $\{b_n\}$, denoted $T_n$.

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