
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 proposition $p$: $\frac{m-2}{m-3} \leqslant \frac{2}{3}$; proposition $q$: the solution set of the inequality $x^{2}-4x+m^{2}\leqslant 0$ regarding $x$ is an empty set. If the proposition "$p \vee q$" is true and "$p \wedge q$" is false, find the range of values for the real number $m$.

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