RFR: 8342460: Remove calls to doPrivileged in javafx.web [v2]

[Kevin Rushforth]

On Fri, 1 Nov 2024 15:01:10 GMT, Andy Goryachev <angorya at openjdk.org> wrote:

>> Removes `doPrivileged` calls in the javafx.web module, excluding the code in `{android,ios}`.
>
> Andy Goryachev has updated the pull request incrementally with one additional commit since the last revision:
> 
>   review comments

Marked as reviewed by kcr (Lead).

-------------

PR Review: https://git.openjdk.org/jfx/pull/1620#pullrequestreview-2410357383