When the capacitor has attained steady-state, it will behave as an open circuit.
So, the circuit will be as shown
Simplifying the circuit from the combination of 2Ω , 1Ω and 6Ω . R=2+1+6(2+1)×6=2Ω
This circuit is a balanced wheatstone bridge.
So, the 5.2Ω resistor will be as in an open circuit.
The equivalent resistance, Req=(2+1)+(8+4)(2+1)×(8+4)=2.4Ω
The reading of the ammeter I=2.410≈4.16A