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If available I microwave mine for 5 minutes each side before Braaing. Then just basically give it a good tan on the coals. With the sweet marinades it's so hard not to burn it while trying to cook it properly from scratch on the coals. I am a bit of an impatient braaier and I also try not to braai for longer than I have to be more economical with wood or charcoal or briquettes to be more environmentally conscious.
Normally when you close the cover you use less wood/charcoal etc. So you still use the same if not less wood