
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
In a box, there are three balls labeled \\(1\\), \\(2\\), and \\(3\\) respectively. Now, two balls are drawn from this box with replacement, and their labels are \\(x\\) and \\(y\\) respectively. Let \\(O\\) be the origin of coordinates, and the coordinates of point \\(M\\) are \\((x-2,x-y)\\).
\\((1)\\) Find the sum of all possible values of \\(| \overrightarrow{OM}|^{2}\\);
\\((2)\\) Find the probability that the event “\\(| \overrightarrow{OM}|^{2}\\) takes the maximum value” occurs.

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