
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
A light ray $\textbf{(l)}$ is emitted from point $\textbf{A(-3,3)}$, which is then reflected by the $x$-axis. The reflected light ray intersects with circle $\textbf{C}$: $\textbf{x}^{2}+\textbf{y}^{2}-4x-4y+7=0$ at a tangent point.
(1) Find the equation of the reflected light ray (in general form);
(2) Calculate the total distance the light ray travels from point $\textbf{A}$ to the tangent point.

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