Access a widget using the widget ID? (and 2 other questions)

Questions
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1
  1. How do I access a widget using the widget ID?
  2. How do I use the embedded code on an html page to enable students to quickly get the widget up and running?
  3. I “published” a widget and it now shows as such, but searching for the name finds nothing. When does “published” become really findably published?
2

Hi,
I am having a similar issue. I am trying to embed the following widget to my website but no luck with code.

Any suggestions appreciated!
Dai