
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 wireframe model of a tetrahedron (without faces) is made from a uniform metallic wire. The vertices of the tetrahedron $A, B, C, D$ have coordinates \(\left(x_{1}, y_{1}, z_{1}\right),\left(x_{2}, y_{2}, z_{2}\right), \left(x_{3}, y_{3}, z_{3}\right),\left(x_{4}, y_{4}, z_{4}\right)\), respectively. Find the coordinates of the center of gravity of this object.

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