
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 $C$ that passes through the points $(-1, \frac {2 \sqrt {2}}{3})$ and $(2, \frac { \sqrt {5}}{3})$, find  
$(1)$ The standard equation of the ellipse $C$;  
$(2)$ Through the top vertex $B$ of the ellipse $C$, draw two perpendicular lines that intersect the ellipse $C$ at points $P$ and $Q$, respectively. Determine whether the line $PQ$ passes through a fixed point, and if so, find the fixed point and explain the reason.

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