What kind of job can I find as a calligraphy major in a museum?

The first threshold for entering a museum is academic qualifications. Only a master's degree or a doctorate can enter...the professional requirements are also relatively narrow...

You can look at the recruitment positions of the Capital Museum. Basically The threshold for domestic museums is now much higher than this:

Department to be recruited: Cultural Relics Protection and Restoration Center

Position: Silk fabric protection and restoration. Major: Clothing production and craftsmanship. Education: Master. Gender: Male. Number of people: 1

Position: Bronze conservation and restoration. Major: Metal Materials Engineering. Education: Master. Gender: Male. Number of people: 1

Position: Ceramic protection and restoration. Major: Inorganic non-metallic materials engineering. Education: Master. Gender: Male. Number of people: 1

Department to be recruited: Collection Custody Department

Position: Modern History Library Custodian. Major: History, Modern Chinese History. Education: Master. Gender: Male

Number of people: 1. Remarks: Good hard-pen calligraphy

Position: General Ledger Group, Warehouse Group. Major: Art History, History. Education: Master. Number of people: 1. Remarks: Good hard-pen calligraphy

Department to be recruited: Display Design Department

Position: Showcase structure design. Major: Industrial Design. Education: Bachelor's degree. Number of people: 1

Department to be recruited: Business Research Department

Position: Contemporary art research and exhibition. Major: Sociology. Education: Ph.D. Number of people: 1

Among them, the Collection Custody Department requires good hard-pen calligraphy, but what they want is history, and a master's degree. There are definitely advantages to being good at calligraphy, but the key is to make a fuss about your academic qualifications.

I don’t know if a job like treasury management is in line with your ideal, but if you really want to do it, try to get a postgraduate degree in history.