
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 $\dfrac{x^2}{6} + \dfrac{y^2}{2} = 1$ with its left and right foci at $F_1$ and $F_2$ respectively, a line $l: y=kx+m$ is tangent to the ellipse. Denote the distances from $F_1$ and $F_2$ to the line $l$ as $d_1$ and $d_2$ respectively. Then calculate the value of $d_1d_2$.

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