chore: allow for relative binary path (#32686)

* chore: should fail publish binary

* chore: fix relative binary pathing issues

* chore: remove hardcoded branch

Author: AtofStryker

.circleci/cache-version.txt

@@ -1,2 +1,2 @@
 # Bump this version to force CI to re-create the cache from scratch.
-10-3-2025
+10-9-2025

cli/lib/bin/cypress.ts

@@ -0,0 +1,3 @@
+#!/usr/bin/env node
+// declared here in order to avoid consumers who are looking for the binary to be available relative to the dist directory
+import '../../bin/cypress'

cli/scripts/start-build.ts

@@ -35,3 +35,8 @@ shell.cp('dist/exec/*.js', 'build/dist/exec')
 
 shell.mkdir('-p', 'build/dist/tasks')
 shell.cp('dist/tasks/*.js', 'build/dist/tasks')
+
+shell.mkdir('-p', 'build/dist/bin')
+shell.cp('dist/bin/cypress.js', 'build/dist/bin/cypress')
+// because this is a compiled file, it is read only and we need to grant execute permissions
+shell.chmod('+x', 'build/dist/bin/cypress')