
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
The coordinates of points $P$, $Q$, and $R$ are $(6,7)$, $(3,4)$, and $(0,m)$ respectively. The value of $m$ that makes $\overline{PR}+\overline{QR}$ as small as possible is:
A) $3$
B) $4$
C) $5$
D) $6$

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