This riddle is a sequel of sorts to my previous puzzle, the Twelve Zodiac Coins. If you haven't seen that one, I would strongly recommend you take a look at it first.
As a reward for helping the famous heiress, Gwen, solve the mystery of her zodiac coins, you were invited to her mansion. This turned out to be very lucky (for her), because she had yet another puzzle for you to solve. Opening her family vault revealed nothing but a small safe and a printed card with some text on it! Obviously, she turned to you again for help...
"So... you think you can handle this?" she asked.
No, you think, but there's no way you'd say so out loud to Gwen, who thinks you're the greatest puzzle solver since bread came sliced after you helped her out on her birthday. Hoping to distract her, you cast about for something else to say.
"Your dad's name is really unique, huh? Is he really called F.Y.I.?" you ask.
She rolls her eyes. "Yes, he gave himself that name in his youth and no one knows why. In fact, he's always saying he can't believe no one has seen the meaning behind it yet."
Well, there goes that topic of small talk, then. Time for another valiant attempt. "He really likes his horoscopes, then? Zodiac coins and all?"
"Yeah, he does. In fact, he tries to live as the personification of his own sign - you know, always trying to be a king, leading the pack..?"
"Uh huh..." Still distracted by the puzzle, you're responding on automatic here when you ask, "So, what about you? You do that too?"
"Well, of course I -" she stops mid-sentence, and when you look up you notice she is blushing. Then the shoe drops, and you blush too. You stare hard at the puzzle while your ears turn red.
She seems eager to change the topic too, and says (a little too enthusiastically), "You know, before I opened this vault, my dad told me that it was a father's duty to lay the foundations for his child. Do you think that is significant?"
"Probably no -" Your brain catches up with your mouth, and you freeze. Of course! It all comes together now! You hastily scribble in your trusty notebook for several minutes while Gwen watches in amazement. Finally done, you look up in triumph.
"I think I know the 5-digit passcode to open this safe now!" You proclaim. Well... do you?
Note: this time, the story contains necessary clues.