Do not pump the brakes. Just hold the brake pedal down firmly and let antilock work. A slight brake pedal pulsation might be felt or some noise noticed, but this is normal.
Chevrolet Cobalt Service & Repair Manual. Front Bumper Upper Fascia Grille
Removal
1.
Remove front bumper fascia, as outlined
in Front Bumper Fascia.
2.
Remove front bumper fascia grille push
pin retainers (1), Fig. 1.
3.
Remove front bumper fascia grille fasteners
(2). ...