Do not capture the build-time value of $PATH in the 'emacs' executable
since this can noticeably increase the size of the closure of Emacs
with things like GCC being referenced.

--- emacs-31.1/lisp/loadup.el.orig	2026-07-07 14:37:38.000000000 +0200
+++ emacs-31.1/lisp/loadup.el	2026-08-24 15:41:08.501451517 +0200
@@ -601,7 +601,8 @@
                            (if (eq system-type 'ms-dos)
                                "b-emacs.pdmp"
                              "bootstrap-emacs.pdmp"))
-                          (t (error "Unrecognized dump mode %s" dump-mode)))))
+                          (t (error "Unrecognized dump mode %s" dump-mode))))
+            (exec-path nil))
         (when (and (featurep 'native-compile)
                    (equal dump-mode "pdump"))
           ;; Don't enable this before bootstrap is completed, as the