
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
Through the point \( M(-2, 0, 3) \), draw a line that intersects the lines

\[ 
\left\{
\begin{array}{l}
x = 2 - t \\
y = 3 \\
z = -2 + t
\end{array}
\right.
\]

and 

\[ 
\left\{
\begin{array}{l}
2x - 2y - z - 4 = 0 \\
x + 3y + 2z + 1 = 0
\end{array}
\right.
\]

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