Release Browse independently of the Stagehand SDKs. Merging this PR
publishes the CLI from the merged commit.

## 0.11.1

### Patch Changes

- [#3055](https://github.com/browserbase/stagehand/pull/3055)
[`8308d8d`](https://github.com/browserbase/stagehand/commit/8308d8dc0b61d7e6f7da7de61fa8692109ca0443)
Thanks [@akeimach](https://github.com/akeimach)! - `functions init` now
scaffolds a Stagehand project. It installs `@browserbasehq/stagehand`
instead of `playwright-core`, installs the zod version that Stagehand
uses, and writes a Stagehand starter function.

- [#3055](https://github.com/browserbase/stagehand/pull/3055)
[`8308d8d`](https://github.com/browserbase/stagehand/commit/8308d8dc0b61d7e6f7da7de61fa8692109ca0443)
Thanks [@akeimach](https://github.com/akeimach)! - Fix Functions builds
that failed because of how `functions publish` generated
`package-lock.json` or how `functions init` set up pnpm:

- `functions publish` now generates `package-lock.json` without registry
URLs, so private npm registries work.
- `functions publish` now resolves local `file:` dependencies by
building `package-lock.json` from the uploaded files rather than just
`package.json`.
- `functions publish` now prints npm's error output when it can't
generate `package-lock.json`.
- `functions init` now writes a `pnpm-workspace.yaml` that allows the
esbuild build script, required by pnpm 11+.

- [#2542](https://github.com/browserbase/stagehand/pull/2542)
[`514970e`](https://github.com/browserbase/stagehand/commit/514970e13f2ffe7528407dd2e57e41a77b61e785)
Thanks [@shrey150](https://github.com/shrey150)! - Fix local browser
discovery (`--auto-connect`, `browse doctor`) trusting a stale cached
debugging port after a different Chrome process later reuses that same
port.

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