refactor(set-change-password): [Auth/PM-18206] Update InputPasswordComponent to handle multiple flows (#13745)

Updates the InputPasswordComponent so that it can eventually be used in multiple set/change password scenarios.

Most importantly, this PR adds an InputPasswordFlow enum and @Input so that parent components can dictate which UI elements to show.

apps/browser/src/_locales/en/messages.json

@@ -2297,6 +2297,9 @@
   "privacyPolicy": {
     "message": "Privacy Policy"
   },
+  "yourNewPasswordCannotBeTheSameAsYourCurrentPassword": {
+    "message": "Your new password cannot be the same as your current password."
+  },
   "hintEqualsPassword": {
     "message": "Your password hint cannot be the same as your password."
   },