docs: further tweak rerun-if-env-changed docs

src/doc/src/reference/build-scripts.md

@@ -349,8 +349,8 @@ Note that the environment variables here are intended for global environment
 variables like `CC` and such, it is not possible to use this for environment
 variables like `TARGET` that [Cargo sets for build scripts][build-env]. The
 environment variables in use are those received by `cargo` invocations, not
-those received by the executable of the build script.
-
+those received by the executable of the build script. Cargo will automatically
+re-run the build script if one of the variables that it sets changes.
 
 ### The `links` Manifest Key