Prepare the next browse release by versioning the package on `main`.

What this PR does:
- bumps `packages/cli/package.json` to `0.9.1`
- updates the browse changelog
- consumes the pending browse changesets

After this PR merges, the `Release` workflow on `main` will publish
`browse@0.9.1` from that exact commit using `pnpm pack` + `npm publish
--provenance`.


<!-- This is an auto-generated description by cubic. -->
---
## Summary by cubic
Prepare `browse@0.9.1` by bumping the CLI version and updating the
changelog; merging will trigger the Release workflow to publish.

- **New Features**
- Attribute CLI-driven Browserbase usage to an anonymous install.
Sessions stamp `install_id` and `cli_version` in `userMetadata`. Cloud
Search/Fetch send `x-bb-client` and `x-bb-install-id`. Best-effort and
non-blocking.

<sup>Written for commit f2eca534bc7aaaf6cc508f1e1d487ad38f1c8482.
Summary will update on new commits.</sup>

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