Remove unnecessary installation of build requirements (Qiskit#11246)

Since we are using `build`, a basic PEP 517 builder, we do not need to
manually install the build requirements; our `pyproject.toml` specifies
them, and they'll be automatically pulled in.

With the pivot to PyPI trusted publishers in Qiskitgh-10999, we no longer use
`twine` manually either.

.github/workflows/wheels.yml

@@ -185,7 +185,7 @@ jobs:
         with:
           python-version: '3.10'
       - name: Install deps
-        run: pip install -U twine setuptools-rust wheel build
+        run: pip install -U build
       - name: Build sdist
         run: python -m build . --sdist
       - name: Publish package distributions to PyPI
@@ -208,7 +208,7 @@ jobs:
         with:
           python-version: '3.10'
       - name: Install deps
-        run: pip install -U twine setuptools-rust wheel build
+        run: pip install -U build
       - name: Build packages
         run: |
           set -e