
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 geometric sequence $\{a_n\}$, where $2a_4-3a_3+a_2=0$, and $a_1=64$, with the common ratio $q \neq 1$,  
(1) Find $a_n$;  
(2) Let $b_n=\log_2a_n$, calculate 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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