[api.cc] Eliminate multiple calls to Utils::OpenHandle in functions

- Changes functions that call OpenHandle multiple times to assign a
  local and use it the second time.

Change-Id: Ibc7e881158dc6aec489e3f30690da8982014d52a
Reviewed-on: https://chromium-review.googlesource.com/c/v8/v8/+/1636459
Commit-Queue: Bill Budge <bbudge@chromium.org>
Reviewed-by: Michael Starzinger <mstarzinger@chromium.org>
Cr-Commit-Position: refs/heads/master@{#61971}