Should a president die in office, which official succeeds the president if the vice president is unable to assume the role?

secretary of state

first lady

speaker of the house

attorney general

chairman of the joint chiefs of staff

Should a president die in office, which official succeeds the president if the vice president is unable to assume the role?
:  If a president dies in office, and the vice president is unable to assume the role, the Speaker of the House is the next in succession.

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