
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
Construct a tangent line \( l \) to the circle \( C \) with equation \( (x - 2)^2 + (y - 1)^2 = 25 \) that passes through point \( M(-2, 4) \). Assuming a line \( l_1 \) with equation \( ax + 3y + 2a = 0 \) is parallel to line \( l \), find the distance between lines \( l_1 \) and \( l \).

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