build(deps-dev): bump typescript from 5.5.4 to 5.6.2 (#610)

Bumps [typescript](https://github.com/microsoft/TypeScript) from 5.5.4
to 5.6.2.
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a
href="https://github.com/microsoft/TypeScript/releases">typescript's
releases</a>.</em></p>
<blockquote>
<h2>TypeScript 5.6</h2>
<p>For release notes, check out the <a
href="https://devblogs.microsoft.com/typescript/announcing-typescript-5-6/">release
announcement</a>.</p>
<p>For the complete list of fixed issues, check out the</p>
<ul>
<li><a
href="https://github.com/Microsoft/TypeScript/issues?utf8=%E2%9C%93&amp;q=milestone%3A%22TypeScript+5.6.0%22+is%3Aclosed+">fixed
issues query for Typescript 5.6.0 (Beta)</a>.</li>
<li><a
href="https://github.com/Microsoft/TypeScript/issues?utf8=%E2%9C%93&amp;q=milestone%3A%22TypeScript+5.6.1%22+is%3Aclosed+">fixed
issues query for Typescript 5.6.1 (RC)</a>.</li>
<li><a
href="https://github.com/Microsoft/TypeScript/issues?utf8=%E2%9C%93&amp;q=milestone%3A%22TypeScript+5.6.2%22+is%3Aclosed+">fixed
issues query for Typescript 5.6.2 (Stable)</a>.</li>
</ul>
<p>Downloads are available on:</p>
<ul>
<li><a href="https://www.npmjs.com/package/typescript">npm</a></li>
<li><a
href="https://www.nuget.org/packages/Microsoft.TypeScript.MSBuild">NuGet
package</a></li>
</ul>
<h2>TypeScript 5.6 RC</h2>
<p>For release notes, check out the <a
href="https://devblogs.microsoft.com/typescript/announcing-typescript-5-6-rc/">release
announcement</a>.</p>
<p>For the complete list of fixed issues, check out the</p>
<ul>
<li><a
href="https://github.com/Microsoft/TypeScript/issues?utf8=%E2%9C%93&amp;milestone%3A%22TypeScript+5.6.1%22+is%3Aclosed+">fixed
issues query for TypeScript v5.6.1 (RC)</a>.</li>
<li><a
href="https://github.com/Microsoft/TypeScript/issues?utf8=%E2%9C%93&amp;milestone%3A%22TypeScript+5.6.0%22+is%3Aclosed+">fixed
issues query for TypeScript v5.6.0 (Beta)</a>.</li>
</ul>
<p>Downloads are available on:</p>
<ul>
<li><a href="https://www.npmjs.com/package/typescript">npm</a></li>
</ul>
<h2>TypeScript 5.6 Beta</h2>
<p>For release notes, check out the <a
href="https://devblogs.microsoft.com/typescript/announcing-typescript-5-6-beta/">release
announcement</a>.</p>
<p>For the complete list of fixed issues, check out the</p>
<ul>
<li><a
href="https://github.com/Microsoft/TypeScript/issues?utf8=%E2%9C%93&amp;q=milestone%3A%22TypeScript+5.6.0%22+is%3Aclosed+">fixed
issues query for Typescript 5.6.0 (Beta)</a>.</li>
</ul>
<p>Downloads are available on:</p>
<ul>
<li><a href="https://www.npmjs.com/package/typescript">npm</a></li>
<li><a
href="https://www.nuget.org/packages/Microsoft.TypeScript.MSBuild">NuGet
package</a></li>
</ul>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a
href="https://github.com/microsoft/TypeScript/commit/a7e3374f13327483fbe94e32806d65785b0b6cda"><code>a7e3374</code></a>
Bump version to 5.6.2 and LKG</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/20633579fcf88f6b61774349740de4841d2b8b5c"><code>2063357</code></a>
🤖 Pick PR <a
href="https://redirect.github.com/microsoft/TypeScript/issues/59708">#59708</a>
(LEGO: Pull request from lego/hb_537...) into release-5.6 (#...</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/4fe7e41ea1a92ecbd59119666be2d60164785391"><code>4fe7e41</code></a>
🤖 Pick PR <a
href="https://redirect.github.com/microsoft/TypeScript/issues/59670">#59670</a>
(fix(59649): ts Move to a new file d...) into release-5.6 (#...</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/1a03e5340ae0b83ce1b1f743763625f89e92ca91"><code>1a03e53</code></a>
🤖 Pick PR <a
href="https://redirect.github.com/microsoft/TypeScript/issues/59761">#59761</a>
(<code>this</code> can be nullish) into release-5.6 (<a
href="https://redirect.github.com/microsoft/TypeScript/issues/59762">#59762</a>)</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/6212132b835145b1a8fd49982680ac668caf3ddc"><code>6212132</code></a>
Update LKG</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/bbb5faf7e749df52adafdcd37c09ac7fff30ddaf"><code>bbb5faf</code></a>
🤖 Pick PR <a
href="https://redirect.github.com/microsoft/TypeScript/issues/59542">#59542</a>
(Fixing delay caused in vscode due t...) into release-5.6 (#...</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/e6914a558775bd3ba3dc5567877604a0864b9338"><code>e6914a5</code></a>
Bump version to 5.6.1-rc and LKG</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/34121c42b638e973f28b438b0513796a37585448"><code>34121c4</code></a>
Update LKG</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/2a30c2a8f0408b32c8c7ff88f0bf1c6a32e67704"><code>2a30c2a</code></a>
Merge remote-tracking branch 'origin/main' into release-5.6</li>
<li><a
href="https://github.com/microsoft/TypeScript/commit/936a79bbb58f82b173f6b644974995851b9b479e"><code>936a79b</code></a>
Expose TypeChecker. getAwaitedType to public (<a
href="https://redirect.github.com/microsoft/TypeScript/issues/59268">#59268</a>)</li>
<li>Additional commits viewable in <a
href="https://github.com/microsoft/TypeScript/compare/v5.5.4...v5.6.2">compare
view</a></li>
</ul>
</details>
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