
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 an ellipse C: $$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$$ (with $a > b > 0$) whose left and right vertices are A and B, respectively, and the major axis is 8 units long. Point T is on the ellipse, and the product of the slopes of lines TA and TB is $- \frac{3}{4}$.
(Ⅰ) Find the equation of the ellipse C.
(Ⅱ) Let O be the origin, and a variable line through point M(0, 2) intersects ellipse C at points P and Q. Find the range of $$\overrightarrow{OP} \cdot \overrightarrow{OQ} + \overrightarrow{MP} \cdot \overrightarrow{MQ}$$.

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