I was attempting to replace the vacuum check valve in my 96 Chevy G10 with 5.0 V8 and approximately 144,xxx miles. The check valve has three fittings, the two opposite each other were "soft" 7/32" lines; the "other" one was a harder, thinner line ([for reference, this is the part I used.

Unfortunately, this hard line ended up being pulled and disconnected at the other end (the one not attached to check valve). One of the other two lines goes around the PCV area, and the other goes to the large black half-sphere "thing", located under the battery, near the front of the vehicle. However, I cannot figure out where the line that got disconnected goes.

The vacuum diagram for the van (from AutoZone's website) was, unfortunately, not helpful for me.

Any advice is appreciated.
Thanks in advance.