Air carrier Captain reported descending too low on the approach and triggering a ground proximity warning. The glideslope at the airport was out of service and the flight crew missed that information in the NOTAMs.

Narrative

We were on final at DAB for Runway 07L on a clear weather day. After the final approach fix; 1600 ft. AGL; the glideslope became erratic. At about 900 ft. I noticed the glideslope display depicted us above the path and the aircraft was rather abruptly pushing over - aircraft on autopilot. I disconnected the autopilot and raised the nose of the aircraft. We received a low altitude warning from GPWS. First Officer called for go-around which I executed; and we came back around for an uneventful visual approach landing.The glideslope was out of service for this approach and was listed in NOTAMs. I missed it and my First Officer did also. No excuse. We both checked the NOTAMs and each of us missed it. Aircraft had 4 MELs that put us behind and somewhat time compressed. This was a short flight; just under one hour. The runway does not have a PAPI. The FAF is at 1600 ft. which is lower than normal. The 10 miles prior to FAF is at 1600 ft. so I was expecting a shallow sight picture. My first time arriving at this airport. No ATIS at airport which would have been another opportunity to see and catch the NOTAM. I will re-double my efforts to thoroughly check NOTAMs no matter how busy the flight is. Trapping this error would have prevented the problem.