When back, if I say "Out of office until Thursday" [duplicate]

Solution 1:

Until x means that the change occurs on/at x:

I am here until Friday. | From Friday I will not be here.

or

I am playing football until 7pm. | At 7pm I finish playing football.

or

The store is closed until March. | In March the store opens.

In your example:

I am out of the office until Thursday. | From Thursday I am back in the office.