
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
Let the universal set $I = \{2, 3, a^2 + 2a - 3\}$, $A = \{2, |a + 1|\}$, and the complement of $A$ in $I$, $\complement_I A = \{5\}$. Let $M = \{x | x = \log_2 |a|\}$. Find all subsets of the set $M$.

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