A timeline of its own, not the Levant's
The site's Levant periods (Bronze, Iron, Persian) are a definition by a particular authority for a particular space. Egypt was divided differently: Old, Middle and New Kingdoms, intermediate periods and dynasties. According to the Met's curatorial chronology, the Middle Kingdom is about 2030 to 1640 BCE, the Second Intermediate Period 1640 to 1550, and the New Kingdom 1550 to 1070. Source 1. On the site's timeline Egypt has a period scheme of its own, following that curatorial chronology; objects are placed in it by the period name in their record, not by the Levant scheme.
Two objects, two tombs
A scarab amulet of glazed faience, one centimetre long, was found in the Museum's excavations at South Lisht, in the tomb of Senwosretankh, and is dated in the record to the Middle Kingdom, about 1981 to 1640 BCE. Source 2. A limestone shabti, 22.5 cm high, was found in the tomb of Sennedjem (TT 1) at Deir el-Medina and is dated to the New Kingdom, Ramesside period, about 1290 to 1224 BCE. Source 3. Both are held by the Met; the scarab's record has no open image, so its page uses a text frame.
Objects for the afterlife, not human remains
Amulets and shabtis are objects placed with the dead. The site shows them and reports what the record says; it does not show human remains and does not describe a mummy as an "exhibit". The article on human remains in museums explains that distinction through the British Museum's written policy, and the reading trail "Objects for the afterlife" moves between the two objects and the article.
A bridge to an object from the Levant
Another scarab on the site, with a crocodile-headed figure, is recorded by the museum as "From Canaan, Levant" and dated by the Egyptian Dynasty 15, about 1640 to 1550 BCE. Source 4. It is not attributed here to the culture of Egypt: findspot, dating scheme and culture are three separate questions, and the object stays in the Levant region, placed in the Bronze Age by its numeric range.