
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 the ellipse $\dfrac{x^{2}}{a^{2}} + \dfrac{y^{2}}{b^{2}} = 1 (a > b > 0)$ with a minor axis length of $2$, the top vertex as $A$, the left vertex as $B$, and $F_{1}$, $F_{2}$ are respectively the left and right foci of the ellipse. If point $P$ is any point on the ellipse, calculate the range of values for $\dfrac{1}{|PF_{1}|} + \dfrac{1}{|PF_{2}|}$.

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