docs: update contributing/release guide a little (#5681)

Signed-off-by: Henry Schreiner <henryschreineriii@gmail.com>

docs/release.rst

@@ -1,9 +1,8 @@
 On version numbers
 ^^^^^^^^^^^^^^^^^^
 
-The two version numbers (C++ and Python) must match when combined (checked when
-you build the PyPI package), and must be a valid `PEP 440
-<https://www.python.org/dev/peps/pep-0440>`_ version when combined.
+The version number must be a valid `PEP 440
+<https://www.python.org/dev/peps/pep-0440>`_ version number.
 
 For example:
 
@@ -11,11 +10,10 @@ For example:
 
     #define PYBIND11_VERSION_MAJOR X
     #define PYBIND11_VERSION_MINOR Y
-    #define PYBIND11_VERSION_PATCH Z.dev1
+    #define PYBIND11_VERSION_PATCH Za0
 
-For beta, ``PYBIND11_VERSION_PATCH`` should be ``Z.b1``. RC's can be ``Z.rc1``.
-Always include the dot (even though PEP 440 allows it to be dropped). For a
-final release, this must be a simple integer. There is also
+For beta, ``PYBIND11_VERSION_PATCH`` should be ``Zb1``. RC's can be ``Zrc1``.
+For a final release, this must be a simple integer. There is also
 ``PYBIND11_VERSION_HEX`` just below that needs to be updated.
 
 
@@ -23,7 +21,7 @@ To release a new version of pybind11:
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
 If you don't have nox, you should either use ``pipx run nox`` instead, or use
-``pipx install nox`` or ``brew install nox`` (Unix).
+``uv tool install nox``, ``pipx install nox``, or ``brew install nox`` (Unix).
 
 - Update the version number
 
@@ -32,11 +30,9 @@ If you don't have nox, you should either use ``pipx run nox`` instead, or use
 
   - Update ``PYBIND11_VERSION_HEX`` just below as well.
 
-  - Update ``pybind11/_version.py`` (match above).
-
   - Run ``nox -s tests_packaging`` to ensure this was done correctly.
 
-- Ensure that all the information in ``setup.cfg`` is up-to-date, like
+- Ensure that all the information in ``pyproject.toml`` is up-to-date, like
     supported Python versions.
 
 - Add release date in ``docs/changelog.md`` and integrate the output of
@@ -63,7 +59,7 @@ If you don't have nox, you should either use ``pipx run nox`` instead, or use
 
   - ``git tag -a vX.Y.Z -m 'vX.Y.Z release'``
 
-  - ``grep ^__version__ pybind11/_version.py``
+  - ``git grep PYBIND11_VERSION include/pybind11/detail/common.h``
 
     - Last-minute consistency check: same as tag?
 
@@ -90,9 +86,9 @@ If you don't have nox, you should either use ``pipx run nox`` instead, or use
     click "Draft a new release" on the far right, fill in the tag name
     (if you didn't tag above, it will be made here), fill in a release name
     like "Version X.Y.Z", and copy-and-paste the markdown-formatted (!) changelog
-    into the description. You can remove line breaks and strip links to PRs and
-    issues, e.g. to a bare ``#1234`` without the hyperlink markup.  Check
-    "pre-release" if this is a beta/RC.
+    into the description. You can remove line breaks and optionally strip links
+    to PRs and issues, e.g. to a bare ``#1234`` without the hyperlink markup.
+    Check "pre-release" if this is an alpha/beta/RC.
 
   - CLI method: with ``gh`` installed, run ``gh release create vX.Y.Z -t "Version X.Y.Z"``
     If this is a pre-release, add ``-p``.
@@ -102,7 +98,7 @@ If you don't have nox, you should either use ``pipx run nox`` instead, or use
   - Make sure you are on master, not somewhere else: ``git checkout master``
 
   - Update version macros in ``include/pybind11/detail/common.h`` (set PATCH to
-    ``0.dev1`` and increment MINOR).
+    ``0a0`` and increment MINOR).
 
   - Update ``pybind11/_version.py`` to match.
 
@@ -113,16 +109,10 @@ If you don't have nox, you should either use ``pipx run nox`` instead, or use
 
   - ``git add``, ``git commit``, ``git push``
 
-If a version branch is updated, remember to set PATCH to ``1.dev1``.
-
-If you'd like to bump homebrew, run:
-
-.. code-block:: console
-
-    brew bump-formula-pr --url https://github.com/pybind/pybind11/archive/vX.Y.Z.tar.gz
+If a version branch is updated, remember to set PATCH to ``1a0``.
 
 Conda-forge should automatically make a PR in a few hours, and automatically
-merge it if there are no issues.
+merge it if there are no issues. Homebrew should be automatic, too.
 
 
 Manual packaging
@@ -137,6 +127,7 @@ this is the procedure:
 .. code-block:: bash
 
     nox -s build
+    nox -s build_global
     twine upload dist/*
 
 This makes SDists and wheels, and the final line uploads them.