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Moment of inertia question

If we have five identical rigid rods, each of length l and mass m, are connected together to form the system shown in the figure. The system may rotate about an axis passing through AB.

The question is to find the moment of inertia of the system with respect to axis AB. enter image description here

So what I did considered BC as a rod rotating about its end. I then considered DC as a mass connected to BC (but I doubt this one)

And the rest I do not know how to consider them. I would appreciate some guidance on how to think of moment of inertia in this problem.