chore(deps): update otel/weaver docker tag to v0.16.1 (#6966)

This PR contains the following updates:

| Package | Type | Update | Change |
|---|---|---|---|
| [otel/weaver](https://redirect.github.com/open-telemetry/weaver) |
stage | patch | `v0.16.0` -> `v0.16.1` |

---

> [!WARNING]
> Some dependencies could not be looked up. Check the Dependency
Dashboard for more information.

---

### Release Notes

<details>
<summary>open-telemetry/weaver (otel/weaver)</summary>

###
[`v0.16.1`](https://redirect.github.com/open-telemetry/weaver/releases/tag/v0.16.1):
0.16.1 - 2025-07-04

[Compare
Source](https://redirect.github.com/open-telemetry/weaver/compare/v0.16.0...v0.16.1)

#### Release Notes

- Fix github release actions.

#### Install weaver 0.16.1

##### Install prebuilt binaries via shell script

```sh
curl --proto '=https' --tlsv1.2 -LsSf https://github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-installer.sh | sh
```

##### Install prebuilt binaries via powershell script

```sh
powershell -c "irm https://github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-installer.ps1 | iex"
```

#### Download weaver 0.16.1

|  File  | Platform | Checksum |
|--------|----------|----------|
|
[weaver-aarch64-apple-darwin.tar.xz](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-aarch64-apple-darwin.tar.xz)
| Apple Silicon macOS |
[checksum](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-aarch64-apple-darwin.tar.xz.sha256)
|
|
[weaver-x86\_64-apple-darwin.tar.xz](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-x86_64-apple-darwin.tar.xz)
| Intel macOS |
[checksum](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-x86_64-apple-darwin.tar.xz.sha256)
|
|
[weaver-x86\_64-pc-windows-msvc.zip](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-x86_64-pc-windows-msvc.zip)
| x64 Windows |
[checksum](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-x86_64-pc-windows-msvc.zip.sha256)
|
|
[weaver-x86\_64-pc-windows-msvc.msi](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-x86_64-pc-windows-msvc.msi)
| x64 Windows |
[checksum](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-x86_64-pc-windows-msvc.msi.sha256)
|
|
[weaver-x86\_64-unknown-linux-gnu.tar.xz](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-x86_64-unknown-linux-gnu.tar.xz)
| x64 Linux |
[checksum](https://redirect.github.com/open-telemetry/weaver/releases/download/v0.16.1/weaver-x86_64-unknown-linux-gnu.tar.xz.sha256)
|

#### Verifying GitHub Artifact Attestations

The artifacts in this release have attestations generated with GitHub
Artifact Attestations. These can be verified by using the [GitHub
CLI](https://cli.github.com/manual/gh_attestation_verify):

```sh
gh attestation verify <file-path of downloaded artifact> --repo open-telemetry/weaver
```

You can also download the attestation from
[GitHub](https://redirect.github.com/open-telemetry/weaver/attestations)
and verify against that directly:

```sh
gh attestation verify <file-path of downloaded artifact> --bundle <file-path of downloaded attestation>
```

</details>

---

### Configuration

📅 **Schedule**: Branch creation - At any time (no schedule defined),
Automerge - At any time (no schedule defined).

🚦 **Automerge**: Disabled by config. Please merge this manually once you
are satisfied.

♻ **Rebasing**: Whenever PR is behind base branch, or you tick the
rebase/retry checkbox.

🔕 **Ignore**: Close this PR and you won't be reminded about this update
again.

---

- [ ] <!-- rebase-check -->If you want to rebase/retry this PR, check
this box

---

This PR was generated by [Mend Renovate](https://mend.io/renovate/).
View the [repository job
log](https://developer.mend.io/github/open-telemetry/opentelemetry-go).

<!--renovate-debug:eyJjcmVhdGVkSW5WZXIiOiI0MS4xNy4yIiwidXBkYXRlZEluVmVyIjoiNDEuMTcuMiIsInRhcmdldEJyYW5jaCI6Im1haW4iLCJsYWJlbHMiOlsiU2tpcCBDaGFuZ2Vsb2ciLCJkZXBlbmRlbmNpZXMiXX0=-->

Co-authored-by: renovate[bot] <29139614+renovate[bot]@users.noreply.github.com>

dependencies.Dockerfile

@@ -1,4 +1,4 @@
 # This is a renovate-friendly source of Docker images.
 FROM python:3.13.5-slim-bullseye@sha256:631af3fee9d0b0a046855a62af745c1f94b75c5309be8802a0928cce3ac0f98d AS python
-FROM otel/weaver:v0.16.0@sha256:ee6eefd8cd8f4d2cfb7763b8a0fd613cfdf7dfbfda97e0e9b49d1a00dd01f7d6 AS weaver
+FROM otel/weaver:v0.16.1@sha256:5ca4901b460217604ddb83feaca05238e2b016a226ecfb9b87a95555918a03af AS weaver
 FROM avtodev/markdown-lint:v1@sha256:6aeedc2f49138ce7a1cd0adffc1b1c0321b841dc2102408967d9301c031949ee AS markdown