
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 triangular pyramid $S A B C$ is inscribed in a cone (with $S$ coinciding with the vertex of the cone, and $A, B$, and $C$ lying on the circumference of the base of the cone). The dihedral angles at the edges $S A, S B$, and $S C$ are respectively $\alpha, \beta$, and $\gamma$. Find the angle between the plane $S B C$ and the plane tangent to the surface of the cone along the generatrix $S C$.

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