
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
An ant starts at the dot labeled $A$ on a similar lattice and moves each minute to one of the neighboring dots, choosing randomly. What is the probability that after 7 minutes, the ant is at the dot labeled $C$? The lattice and initial positions are defined as follows: [asy]
draw((-3,0)--(3,0));
draw((0,-3)--(0,3));
draw((1,1)--(1,-1)--(-1,-1)--(-1,1)--cycle);
dot((0,0)); dot((1,0)); dot((2,0)); dot((3,0)); dot((-1,0)); dot((-2,0)); dot((-3,0)); dot((0,1)); dot((0,2)); dot((0,3)); dot((0,-1)); dot((0,-2)); dot((0,-3)); dot((1,1)); dot((1,-1)); dot((-1,-1)); dot((-1,1));
label("$A$",(0,0),SW);
label("$C$",(0,2),NE);
[/asy]

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