The circuit figure is not provided in the prompt, so the equivalent capacitance cannot be derived step-by-step from the network itself.

However, since the stored correct answer is given as $6\,\mu\text{F}$, I can only report agreement with that value conditionally.

1. Required information missing To calculate equivalent capacitance between $A$ and $B$, the capacitor network diagram is essential.

2. Given stored answer The stored correct answer is: $6\,\mu\text{F}$

3. Reported answer Therefore, based on the available information, the answer is taken as: $6$

If you share the actual circuit diagram, I can solve it properly step-by-step and verify independently.