That looks fine. There's no sign of pitting, and now you've cleaned it, there isn't excessive flux buildup. It might benefit from some vigorous brushing with a brass wire brush to remove any remaining spots of charred flux.
IMHO, simply stop dipping the tip in flux when you switch off. Instead, wipe off excess solder on the brass turnings and retin immediately before switch off.
You probably also need to replace the brass turnings tip cleaner - it must be heavily contaminated with all the excess flux you've been using. If you cant easily get a replacement, soak it in a jar of IPA or other dry denatured or industrial alcohol, or acetone, overnight to soften the flux residue, roll it on kitchen paper to dry it off, then rinse with more alcohol or acetone, rolling it on kitchen paper until it doesn't leave any flux stains. However that's a *LOT* of work and solvent so isn't worth doing if you can order a replacement brass cleaner for next day delivery, or even if you can find a local stockist for brass pot-cleaners (pan scourers) made of similar brass turnings.
If you want to try a damp sponge for routine tip cleaning, which may do a better job of removing excess flux buildup from your tip, either get the proper sort from your supplier or get a preferably undyed cellulose sponge, sold for domestic use, and wash out the plasticiser its saturated with to keep it soft in the packet with hot water + a drop of dish detergent. To prevent mineral and contamination buildup, wash out the sponge daily with hot water, and press as much as possible of the water out against a flat surface before use. If you live in a highly chlorinated or hard water area, you should use distilled or demineralised water to rinse the sponge after washing it and to moisten it during the day.