
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 the circle $C:x^{2}+y^{2}=25$, a line $l$ is drawn through the point $M(-2,3)$ intersecting the circle $C$ at points $A$ and $B$. Tangents to the circle are drawn at points $A$ and $B$, which intersect at point $Q$. Determine the equation of the locus of point $Q$.

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