
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
If the base edge length of the regular triangular prism $ABC-A_{1}B_{1}C_{1}$ is $2$, and the side edge length is $\sqrt{3}$, with $D$ being the midpoint of $BC$, then the volume of the triangular pyramid $A-B_{1}DC_{1}$ is ______.

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