The exact form name "竹梅汉瓦" is not a widely recognized canonical teapot type, so the following is a cautious, general description based on the name’s components: 竹 (bamboo), 梅 (plum blossom) and 汉瓦 (Han [dynasty] tile).

Brief history
Teapots that combine natural motifs and architectural references fit within the long Chinese tradition of yixing and scholar’s-club teaware that developed from the late Ming into the Qing and later periods. Craftspeople often named models after plants, animals, household objects or historic motifs; decorative themes such as bamboo and plum have been used for centuries because of their literati symbolism (bamboo for integrity and flexibility, plum for perseverance). References to tiles or Han-dynasty aesthetics point to an interest in archaic or structural forms—a modern or revival interpretation rather than a single antique prototype.

Short note about the shape
A piece called "竹梅汉瓦" would likely combine organic bamboo/plum ornamentation with a tile- or roof-inspired structural motif: for example, a compact, low-profile body with relief or incised plum blossoms and bamboo elements, and a lid or surface treatment suggesting overlapping tiles or a ridged, Han-tile silhouette. It is typically executed in traditional clays (zisha variants) and sized for gongfu-style brewing; exact proportions and details will vary by maker.
Wood-fired handmade Yixing teapot made from Duanni clay sourced from the original Huanglongshan mine. Xu Shun Wei.