[internal] Update GitHub Actions workflow files

This PR contains the following updates:

| Package | Type | Update | Change |
|---|---|---|---|
| [pulumi/esc-action](https://redirect.github.com/pulumi/esc-action) |
action | minor | `v1.4.0` -> `v1.5.0` |
|
[pulumi/provider-version-action](https://redirect.github.com/pulumi/provider-version-action)
| action | patch | `v1.6.0` -> `v1.6.1` |

---

### Release Notes

<details>
<summary>pulumi/esc-action (pulumi/esc-action)</summary>

###
[`v1.5.0`](https://redirect.github.com/pulumi/esc-action/releases/tag/v1.5.0)

[Compare
Source](https://redirect.github.com/pulumi/esc-action/compare/v1.4.0...v1.5.0)

- Fix line parsing when "=" is present
[https://github.com/pulumi/esc-action/pull/30](https://redirect.github.com/pulumi/esc-action/pull/30)

</details>

<details>
<summary>pulumi/provider-version-action
(pulumi/provider-version-action)</summary>

###
[`v1.6.1`](https://redirect.github.com/pulumi/provider-version-action/releases/tag/v1.6.1)

[Compare
Source](https://redirect.github.com/pulumi/provider-version-action/compare/v1.6.0...v1.6.1)

#### What's Changed

- Automate floating tag updates and document release process by
[@&#8203;EronWright](https://redirect.github.com/EronWright) in
[https://github.com/pulumi/provider-version-action/pull/17](https://redirect.github.com/pulumi/provider-version-action/pull/17)
- Update dependencies for v1.6.1 by
[@&#8203;EronWright](https://redirect.github.com/EronWright) in
[https://github.com/pulumi/provider-version-action/pull/18](https://redirect.github.com/pulumi/provider-version-action/pull/18)

#### New Contributors

- [@&#8203;EronWright](https://redirect.github.com/EronWright) made
their first contribution in
[https://github.com/pulumi/provider-version-action/pull/17](https://redirect.github.com/pulumi/provider-version-action/pull/17)

**Full Changelog**:
https://github.com/pulumi/provider-version-action/compare/v1...v1.6.1

</details>

---

### Configuration

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Automerge - Monday through Friday ( * * * * 1-5 ) (UTC).

🚦 **Automerge**: Enabled.

♻ **Rebasing**: Whenever PR becomes conflicted, or you tick the
rebase/retry checkbox.

👻 **Immortal**: This PR will be recreated if closed unmerged. Get
[config
help](https://redirect.github.com/renovatebot/renovate/discussions) if
that's undesired.

---

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

---

This PR has been generated by [Renovate
Bot](https://redirect.github.com/renovatebot/renovate).

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.config/mise.toml

@@ -3,11 +3,12 @@
 
 [env]
 _.source = "{{config_root}}/scripts/get-versions.sh"
+PULUMI_HOME = "{{config_root}}/.pulumi"
 
 [tools]
 
 # Runtimes
-# TODO: we may not need `get_env` once https://github.com/jdx/mise/discussions/6339 is fixed
+# TODO: we may not need 'get_env' once https://github.com/jdx/mise/discussions/6339 is fixed
 go = "{{ get_env(name='GO_VERSION_MISE', default='latest') }}"
 node = '20.19.5'
 python = '3.11.8'
@@ -17,12 +18,12 @@ java = 'corretto-11'
 
 # Executable tools
 pulumi = "{{ get_env(name='PULUMI_VERSION_MISE', default='latest') }}"
-"github:pulumi/pulumictl" = 'latest'
-"github:pulumi/schema-tools" = "latest"
-gradle = '7.6'
+"github:pulumi/pulumictl" = '0.0.50'
+"github:pulumi/schema-tools" = "0.6.0"
+"aqua:gradle/gradle-distributions" = '7.6.6'
 golangci-lint = "1.64.8" # See note about about overrides if you need to customize this.
 "npm:yarn" = "1.22.22"
 
 [settings]
 experimental = true # Required for Go binaries (e.g. pulumictl).
-lockfile = true
+lockfile = false

.github/actions/setup-tools/action.yml

@@ -14,7 +14,9 @@ runs:
   using: "composite"
   steps:
     - name: Setup mise
-      uses: jdx/mise-action@d16887ba50704baed7de72bd1e82e04391e4457a # v3
+      uses: jdx/mise-action@146a28175021df8ca24f8ee1828cc2a60f980bd5 # v3
+      env:
+        MISE_FETCH_REMOTE_VERSIONS_TIMEOUT: 30s
       with:
         version: 2025.11.6
         cache_save: ${{ inputs.cache }}