[Bug]: `pip install` no longer works in 1.6.0 venvs

### What happened?

```
% which pip3
.../_main/bazel-out/k8-dbg/bin/utils/packaging/wheel/fix_wheel/fix_wheel.venv.runfiles/rules_python++python+python_3_12_x86_64-unknown-linux-gnu/bin/pip3
% pip3 install requests
Defaulting to user installation because normal site-packages is not writeable
```

### Version

Development (host) and target OS/architectures:

Output of `bazel --version`:

Version of the Aspect rules, or other relevant rules from your
`WORKSPACE` or `MODULE.bazel` file: 1.6.0, didn't bisect was previously on 1.3.2

Language(s) and/or frameworks involved:

### How to reproduce

```shell

```

### Any other information?

_No response_