
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
Given two moving points \( A \) and \( B \) on the circle \(\odot O: x^{2}+y^{2}=1\), the central angle subtended by arc \(\overparen{A B}\) (in a counterclockwise direction from \(A\) to \(B\)) is \( 90^{\circ} \). The points \( P(2,0) \) and \( Q(0,2) \) are known. The intersection of line \( PA \) with line \( QB \) is point \( M \), and \( M \) is outside the circle \(\odot O\). From point \( M \), two tangent lines are drawn to the circle, touching it at points \( T_{1} \) and \( T_{2} \). Determine the range of values of \(\overrightarrow{MT_{1}} \cdot \overrightarrow{MT_{2}}\).

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