
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
If real numbers $m$ and $n$ satisfy the following conditions:<br/>$(1)2\left(m-1\right)^{2}-7=-5$;<br/>$(2)n-3 \gt 0$.<br/>Determine the quadrant in which the point $P(2m-3$,$\frac{3n-m}{2})$ lies.

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