
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: $$\frac {x^{2}}{a^{2}} + \frac {y^{2}}{b^{2}} = 1$$ ($a > b > 0$) with its left and right foci as $F_1$ and $F_2$, and $P$ is any point on the ellipse with $|PF_1| + |PF_2| = 2\sqrt{2}$, and its focal distance is 2.  
(Ⅰ) Find the equation of ellipse C;  
(Ⅱ) Given a line $x - y + t = 0$ intersects ellipse C at two distinct points A and B, and the midpoint of segment AB is not inside the circle $x^2 + y^2 = \frac{10}{9}$, find the range of values for $t$.

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