Update dependency typescript-eslint to v8.35.1 (#1782)

This PR contains the following updates:

| Package | Change | Age | Adoption | Passing | Confidence |
|---|---|---|---|---|---|
|
[typescript-eslint](https://typescript-eslint.io/packages/typescript-eslint)
([source](https://redirect.github.com/typescript-eslint/typescript-eslint/tree/HEAD/packages/typescript-eslint))
| [`8.35.0` ->
`8.35.1`](https://renovatebot.com/diffs/npm/typescript-eslint/8.35.0/8.35.1)
|
[![age](https://developer.mend.io/api/mc/badges/age/npm/typescript-eslint/8.35.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![adoption](https://developer.mend.io/api/mc/badges/adoption/npm/typescript-eslint/8.35.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![passing](https://developer.mend.io/api/mc/badges/compatibility/npm/typescript-eslint/8.35.0/8.35.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![confidence](https://developer.mend.io/api/mc/badges/confidence/npm/typescript-eslint/8.35.0/8.35.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|

---

### Release Notes

<details>
<summary>typescript-eslint/typescript-eslint
(typescript-eslint)</summary>

###
[`v8.35.1`](https://redirect.github.com/typescript-eslint/typescript-eslint/blob/HEAD/packages/typescript-eslint/CHANGELOG.md#8351-2025-06-30)

[Compare
Source](https://redirect.github.com/typescript-eslint/typescript-eslint/compare/v8.35.0...v8.35.1)

This was a version bump only for typescript-eslint to align it with
other projects, there were no code changes.

You can read about our [versioning
strategy](https://main--typescript-eslint.netlify.app/users/versioning)
and
[releases](https://main--typescript-eslint.netlify.app/users/releases)
on our website.

</details>

---

### Configuration

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Automerge - At any time (no schedule defined).

🚦 **Automerge**: Enabled.

♻ **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

---

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bun.lockb

@@ -52,6 +52,6 @@
         "prettier-plugin-tailwindcss": "0.6.13",
         "tailwindcss": "4.1.11",
         "typescript": "5.8.3",
-        "typescript-eslint": "8.35.0"
+        "typescript-eslint": "8.35.1"
     }
 }