That's a question Google has heard before. Google says the answer is "As". So that's probably the answer your quiz is looking for.
But I can tell you, in terms of Plain English, many words can fit just fine here. For example, another suitable word would be "Since".
If I understand your post correctly, you are saying you think it might be "Once" or "If"... To these I would say, both would be understandable, but quite a slang / low-class form of grammar. To improve the grammar, if using "Once" or "If", you would also say "will bode well".
So I return to "As" and "Since" as examples of ideal ways to fill that gap, and Google confirms "As" is the answer your quiz is expecting.