
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 that $\{(x, y) | (m+3)x + y = 3m-4\} \cap \{(x, y) | 7x + (5-m)y - 8 = 0\} = \emptyset$, find the area of the triangle formed by the line $(m+3)x + y = 3m + 4$ and the coordinate axes.

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