
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
Color the squares numbered from $1$ to $9$ as shown in the table. The rule is as follows: choose any square to start coloring, then each time randomly select a square that has not been colored and is not adjacent to the previously colored square (i.e., does not share a common edge) for coloring. Stop coloring when square $5$ is colored. Let $X$ be the number of squares that have been colored at this time. Find $P\left(X=3\right)=\_\_\_\_\_\_$. 

| 1 | 2 | 3 |
|---|---|---|
| 4 | 5 | 6 |
| 7 | 8 | 9 |

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