How to make a predictive model using a timeseries data consisted of binary information?

Question

How would you do regression to predict the sate in a future time:

       SeriesYear  MonthDay             State
0        1  2019    12  13   [1, 0, 0, 1, 0, 0]
1        2  2019    12  17   [0, 1, 0, 0, 1, 0]
2        3  2019    12  20   [0, 0, 1, 0, 1, 0]
3        4  2019    12  24   [0, 1, 0, 1, 0, 0]
4        5  2019    12  27   [0, 1, 0, 0, 1, 0]
5        6  2019    12  31   [0, 0, 0, 1, 0, 1]
6        7  2020     1   3   [1, 0, 0, 0, 0, 1]
.
.
.       some future date                 ?

Basically I want to know state in some future time in the form of a binary list?

NOTE:

Every single row has its own unique state that is not the same as any other row.