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javascript: (function () {
  const currentHour = new Date().getHours();
  const scheduleHour =
    currentHour < 10 ? 10 : currentHour < 14 ? 14 : currentHour < 17 ? 17 : 10;
  const addDays = currentHour < 17 ? 0 : 1;
  const date = new Date(Date.now() + addDays * 24 * 60 * 60 * 1000);
  const [month, day, year, hour, minute] = document.querySelectorAll(
    '[role="dialog"] select'
  );
  month.value = date.getMonth() + 1;

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Here is how it looks (most left widget):

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Copy paste the script into the console of the submission flow of Google Looker. It's a Google Form, so might work for other Google Forms as well.

Enjoy!

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