It is an historical fact that Herod died in April of 4 BC (3 B.C.E.)
One, AND ONLY ONE, Star of Bethlehem commentator found an astronomical
configuration
that, he thought, MAY have been the Star of Bethlehem but it occured in
1 BC. This commentator
then deduced that Josephus (ancient historian) made a transcription
error and wrote 4 BC instead of 1 BC.
Very poor scholarship.

Herod's death was marked by a lunar eclipse (April 13th 4 BC)

The 1 BC date is not supported by any scholars and is seen as a
fabrication in an attempt to lend credibility to the 1 BC.

There was a census (also) in 7 BC.

To presume that Matthew 'made up' the account of the star is an
academic fallacy that leads to a dead end.
If that part was made up why not the whole New testament?