
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 vectors $\overrightarrow{OA} = (3, -4)$, $\overrightarrow{OB} = (6, -3)$, and $\overrightarrow{OC} = (5 - m, -3 - m)$.
1. If points $A$, $B$, and $C$ cannot form a triangle, find the condition that the real number $m$ must satisfy.
2. If $\triangle ABC$ is a right-angled triangle, find the value of the real number $m$.

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