[CI][Integration] Follow build script name change in apache/arrow-java

[kou]

Describe the enhancement requested

This is similar to #45164 but for apache/arrow-java#493.

Component(s)

Continuous Integration, Integration

[kou]

Done by #45199.

@amoeba This is needed for 19.0.0. Sorry.

[amoeba]

No worries. I'll make sure it gets cherry-picked.