[tri_homecart] Move to drake_models package (RobotLocomotion#21004)

Update drake_models to latest commit.

For example, users should now load
  package://drake_models/tri_homecart/homecart.dmd.yaml
instead of
  package://drake/manipulation/models/tri_homecart/homecart.dmd.yaml

BUILD.bazel

@@ -62,11 +62,11 @@ filegroup(
         "//manipulation/models/iiwa_description:models",
         "//manipulation/models/jaco_description:models",
         "//manipulation/models/realsense2_description:models",
-        "//manipulation/models/tri_homecart:models",
         "//manipulation/models/ur3e:models",
         "//manipulation/models/wsg_50_description:models",
         "//manipulation/models/ycb:models",
         "//multibody/benchmarks/acrobot:models",
+        "@drake_models",
     ],
     visibility = ["//:__subpackages__"],
 )

doc/_pages/model_version_control.md

@@ -29,10 +29,9 @@ See below for the suggested workflow.
    ``models`` checkout using
    ``github_archive(..., local_repository_override = <path>)``.
 4. Incorporate the new ``models`` files into a Drake ``BUILD.bazel`` file where
-   they are needed, typically via ``filegroup(name = "models", ...)``.
-   1. You can grep for ``@drake_models`` to find examples of using existing
-      model files.
-   2. Do not ask the build system to "install" any files from ``drake_models``;
+   they are needed, typically by adding ``data = ["@drake_models"]`` to the
+   demo program or benchmark that uses them.
+   1. Do not ask the build system to "install" any files from ``drake_models``;
       they are already available via remote fetching. In particular, don't add
       any ``install()`` rule for them, nor add them to any ``filegroup()`` that
       is already being installed.

manipulation/models/BUILD.bazel

@@ -10,7 +10,6 @@ install(
         "//manipulation/models/iiwa_description:install_data",
         "//manipulation/models/jaco_description:install_data",
         "//manipulation/models/realsense2_description:install_data",
-        "//manipulation/models/tri_homecart:install_data",
         "//manipulation/models/ur3e:install_data",
         "//manipulation/models/wsg_50_description:install_data",
         "//manipulation/models/ycb:install_data",