
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
Elective 4-4: Coordinate System and Parametric Equations  
Draw a ray from the pole \\(O\\), intersecting the line \\(\rho\cos \theta=3\\) at point \\(M\\). Let \\(P\\) be a point on the ray \\(OM\\), and \\(|OM|\cdot|OP|=12\\). If there is exactly one point \\(P\\) on the line \\(\rho\sin \theta-\rho\cos \theta=m\\), find the value of the real number \\(m\\).

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