
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
Find the angle between the line

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

and the plane

$$
2 x-y+z+3=0
$$

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