
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 $\overrightarrow{OA}=(3,-4)$, $\overrightarrow{OB}=(6,-3)$, $\overrightarrow{OC}=(5-m,-3-m)$.
$(1)$ If points $A$, $B$, and $C$ are collinear, find the value of the real number $m$;
$(2)$ If $\angle ABC$ is an acute angle, find the range of values for the real number $m$.

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