chore(deps): update typescript-eslint and its rule tester to v8.44.1 (#2968)

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This PR contains the following updates:

| Package | Change | Age | Confidence |
|---|---|---|---|
|
[@typescript-eslint/rule-tester](https://typescript-eslint.io/packages/rule-tester)
([source](https://redirect.github.com/typescript-eslint/typescript-eslint/tree/HEAD/packages/rule-tester))
| [`8.44.0` ->
`8.44.1`](https://renovatebot.com/diffs/npm/@typescript-eslint%2frule-tester/8.44.0/8.44.1)
|
[![age](https://developer.mend.io/api/mc/badges/age/npm/@typescript-eslint%2frule-tester/8.44.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![confidence](https://developer.mend.io/api/mc/badges/confidence/npm/@typescript-eslint%2frule-tester/8.44.0/8.44.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
|
[typescript-eslint](https://typescript-eslint.io/packages/typescript-eslint)
([source](https://redirect.github.com/typescript-eslint/typescript-eslint/tree/HEAD/packages/typescript-eslint))
| [`8.44.0` ->
`8.44.1`](https://renovatebot.com/diffs/npm/typescript-eslint/8.44.0/8.44.1)
|
[![age](https://developer.mend.io/api/mc/badges/age/npm/typescript-eslint/8.44.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![confidence](https://developer.mend.io/api/mc/badges/confidence/npm/typescript-eslint/8.44.0/8.44.1?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|

---

### Release Notes

<details>
<summary>typescript-eslint/typescript-eslint
(@&#8203;typescript-eslint/rule-tester)</summary>

###
[`v8.44.1`](https://redirect.github.com/typescript-eslint/typescript-eslint/blob/HEAD/packages/rule-tester/CHANGELOG.md#8441-2025-09-22)

[Compare
Source](https://redirect.github.com/typescript-eslint/typescript-eslint/compare/v8.44.0...v8.44.1)

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

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

</details>

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

###
[`v8.44.1`](https://redirect.github.com/typescript-eslint/typescript-eslint/blob/HEAD/packages/typescript-eslint/CHANGELOG.md#8441-2025-09-22)

[Compare
Source](https://redirect.github.com/typescript-eslint/typescript-eslint/compare/v8.44.0...v8.44.1)

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://typescript-eslint.io/users/versioning) and
[releases](https://typescript-eslint.io/users/releases) on our website.

</details>

---

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---

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---

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