
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
In a regular triangular prism $D-ABC$, the side length of the base $\triangle ABC$ is 6, and the length of each lateral edge is 5. Point $I$ is the incenter of the face $\triangle DAB$. What is the volume of the tetrahedron $I-ABC$?

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