Aftermarket carb (not preferred as you need to find out the jetting and overall condition). The circled gas filter (vacuum ports) are looped with a piece of vac hose so that’s fine unless the hose or filter has an active leak. The advance on the dizzy doesn’t need to be connected. It will drive just fine, just won’t advance. That said you need to connect direct to the ported vacuum on carb - otherwise don’t connect to any other vacuum source.
Hook a vacuum gauge up at idle to a manifold hose barb and measure. Needs to be a minimum of 18inHg at idle when warm, at sea level. Subtract 1inHg per 1k ft of elevation.
Then find out exactly what carb that is, do a lean drop and see how it reacts. You’re better off getting an oem carb but for now you could get it going by getting the vacuum healthy, clean and correct plugs gapped and verifying the existing carb functionality. If it were oem there’s a list of things to go through but that’s not the case here.