A brewer for brewing beverages in a brew basket, such as loose coffee or tea, is provided, where the flow of water to the brew basket alternates between water brewing phases and steam brewing phases during a single brew cycle, resulting in comparatively higher temperatures of water in the brew basket than conventional brewers. The frequency and duration of the water brewing phases and steam brewing phases during a brew cycle can be electronically controlled according to one or more predetermined programs. A reinforcing band is also provided for the lighted brew basket interior to strengthen the brewer head bowl in this area, and a single cup insert is also provided.