arrow

GH-45543: [Release][C#] Remove NuGet references in script (#45544)

### Rationale for this change

Fixes https://github.com/apache/arrow/issues/45543.

### What changes are included in this PR?

- Edited dev/release/post-03-binary.sh

### Are these changes tested?

No, but I feel okay with them.

### Are there any user-facing changes?

No.
* GitHub Issue: #45543

Authored-by: Bryce Mecum <petridish@gmail.com>
Signed-off-by: Sutou Kouhei <kou@clear-code.com>