NoScript is a "part of the main browser" in Tor Browser and Mullvad Browser...where it is still an extension. So before any type of running NoScript in Ladybird can be considered, Ladybird would need to support WebExtensions extensions and all the required WebExtensions APIs. Note that although NoScript runs in Chromium, the more advanced NoScript features (which would include ABE when that comes back) require more advanced WebExtensions APIs that are currently only available in Gecko-based browsers.
Looking at that website, seems like Ladybird is in very early stages, seems too soon to see enough how it would develop to be able to even think about this.
*Always* check the changelogs BEFORE updating that important software!
Mozilla/5.0 (X11; Linux x86_64; rv:138.0) Gecko/20100101 Firefox/138.0