
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 vertices of $\triangle ABC$ are $A(8,0)$, $B(0,6)$, and $O(0,0)$.  
(1) Find the equation of the circumcircle $C$ of $\triangle ABC$.  
(2) Draw a tangent line $l$ from point $P(-1,5)$ to circle $C$, and find the equation of the tangent line $l$.

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