Immediate Id Help Please

That's part of the HVAC vacuum system. The part you're pointing at is a check valve. The horizontal line is the vacuum intake; it should run over to the vacuum tree over by the brake master cylinder. One of the two vertical lines runs into the HVAC system and powers the controls in the car, while the other goes to a vacuum reserve canister so the HVAC continues to work when engine vacuum is low. If I remember correctly, the canister is in the fender, so that may be what you're looking for.

If something's not right with those lines, your HVAC will be flaky. In my case, the line to the vacuum tree was broken or cut clean through, and I couldn't get air to blow through anything but the defroster vents. Replacing that line fixed it, though it's still a bit flaky. I suspect I have other issues, possibly with the vacuum canister or blower motor, but my project has bigger fish to fry.

I went after this because the car stalled at idle when cold. Still does, but it can stay running after only about 30 seconds of warming up, as opposed to several minutes before fixing the line. So, an improvement.

You might want to make sure that the broken line isn't contributing to your vacuum leak. I'd cap it off and see if things get better.