Accidental collisions of HTML and math

One of the reasons why the $-syntax for math is an impractical choice is that the entire toolchain has to be made aware of it. Here's a number of legitimate math expressions that look like HTML to a parser/sanitizer, and GitLab incorrectly treats them as such:

$a <b > c$

<!--Terminate the (false) bold tag-->
</b>

$[(a+b)c](d+e)$

${a}_b c_{d}$

Output:

---

$a c$

$(a+b)c$

${a}b c{d}$

---

Screenshot (Nov 2023):

The backticked syntax doesn't have these problems.

See also my survey for comparison with other services.