Does this fit with the iPhone smart battery case?

I just got the smart battery case and I love it! Only problem is I can't connect my aux cord that I have in my car, to my phone because it's to thick. Any suggestions?

Belkin 3.5mm Flat Right Angle Mini Stereo Cable (1 m/3.3 ft.)

Belkin 3.5mm Flat Right Angle Mini Stereo Cable (1 m/3.3 ft.)

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