
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
In the Cartesian coordinate system xOy, establish a polar coordinate system with the origin O as the pole and the positive x-axis as the initial line. The polar equation of curve C₁ is: $3\rho^2 = 12\rho\cos\theta-10$ ($\rho > 0$).
(1) Find the Cartesian equation of curve C₁.
(2) The equation of curve C₂ is $$\frac{x^2}{16} + \frac{y^2}{4} = 1$$. Let P and Q denote any points on curves C₁ and C₂, respectively. Find the minimum value of |PQ|.

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