You get an A for effort but to grow this Mediterranean herb you must try to provide the hot, dry conditions with perfect drainage that the Rosemary loves. Start by growing in potting soil made for cactus or add half perlite to a regular potting soil so it drains quickly. Use a clay pot rather than plastic as this breathes easier and never let the pot sit in drainage water. Provide a warm and sunny spot away from sinks or cooking spaces that provide a lot of humidity. The fungus growing is a sign of poor drainage, too much water or too much humidity in the air. I would not eat moldy Rosemary. Clip back the plant to healthy foliage and see if the new growth is fungus free. Do not water Rosemary until the soil is completely dry. This may mean once every two weeks or even less in the winter. In your climate Rosemary would love to be outdoors in the summer absorbing the heat and sunshine. With these tips you should be able to keep a Rosemary plant alive but growing other herbs such as mint indoors might be easier under grow lights than sun and heat loving herbs such as Rosemary. Keep growing, Marianne Binetti