Markdown Intellisense Randomly Breaks When Containing Latex

[Locietta]

Describe the bug

I've followed https://vitepress.dev/guide/using-vue#vs-code-intellisense-support to enable intellisense in markdown files. But current intellisense may not work properly when there're Latex contents.

Reproduction

It's kinda hard to reproduce though, it randomly occurs for me. And adding spaces in between may or may not resolve the intellisense error. But the problematic intellisense tends to happen when there's <somevar\somecommand (invalid character), \ (':' is expected), xxx$. (parsed as variable)

Used markdown from #4290 as the template:

---
hello: world
---

<script setup>
import { ref } from 'vue'

const count = ref(0)
</script>

## Title

The count is: {{ count }}

<button :class="$style.button" @click="count++">Increment</button>

$$
<p_i\leq
$$

$xxx$.

$\ $

<style module>
.button {
  color: red;
  font-weight: bold;
}
</style>

Expected behavior

The intellisense in markdown files should be more robust and can handle these cases when Latex content is presented in the posts.

System Info

System:
    OS: Windows 11 10.0.26100
    CPU: (16) x64 AMD Ryzen 7 7435HS
    Memory: 7.24 GB / 23.74 GB
  Binaries:
    Node: 23.6.1 - D:\Scoop\apps\nodejs\current\node.EXE
    npm: 10.9.2 - D:\Scoop\apps\nodejs\current\npm.CMD
    pnpm: 10.0.0 - D:\Scoop\shims\pnpm.EXE
  Browsers:
    Edge: Chromium (130.0.2849.68)
    Internet Explorer: 11.0.26100.1882
  npmPackages:
    vitepress: 1.5.0 => 1.5.0

Additional context

No response

Validations

• Check if you're on the latest VitePress version.
• Follow our Code of Conduct
• Read the docs.
• Check that there isn't already an issue that reports the same bug to avoid creating a duplicate.

[brc-dd]

Please create an issue at language-tools repo. They probably should skip latex blocks/inline equations similar to code fences. These regexes will need change - https://github.com/vuejs/language-tools/blob/07a1baa85e0fdb8d2546e11c8f3b5f8514261e75/packages/language-core/lib/plugins/file-md.ts#L8-L9