Air carrier captain reported a taxiway was notamed closed due to construction at rdu airport; howeve...

Narrative:

Shortly after departure out of ZZZ; we obtained ATIS for rdu due to the short flight time. One of the ATIS notams listed taxiway C at rdu closed between F and G. There were numerous taxiway closures and I annotated them with the red drawing tool on my efb 10-9 page. Based on the ATIS; we briefed the ILS to runway xxr. We also briefed to expect to taxi D; a; to parking; when clearing the runway due to the C taxiway closure NOTAM. After landing; ground cleared us to taxi C; a; to the gate. However; taxiing clear of the runway; I went to taxiway D based on the red area I had drawn on my efb 10-9 page and the taxiway closure NOTAM. Half-way up taxiway D; I noticed there were no closure markings or construction on taxiway C.we queried ground about our clearance and he stated 'C; a; to the gate.' we mentioned we had taken D in error. He said 'no problem; continue D; a; to the gate.' we didn't mention the ATIS NOTAM as I wasn't sure if I had read it correctly. After aircraft shutdown; we looked at the ATIS again and noticed we had read the closure correctly and it was still listed in the current ATIS.

Original NASA ASRS Text

Title: Air carrier Captain reported a taxiway was NOTAMed closed due to construction at RDU airport; however the NOTAM was not included in the ATIS information and ground control issued taxi instructions via the closed taxiway.

Narrative: Shortly after departure out of ZZZ; we obtained ATIS for RDU due to the short flight time. One of the ATIS NOTAMs listed Taxiway C at RDU closed between F and G. There were numerous taxiway closures and I annotated them with the red drawing tool on my EFB 10-9 page. Based on the ATIS; we briefed the ILS to Runway XXR. We also briefed to expect to taxi D; A; to parking; when clearing the runway due to the C Taxiway closure NOTAM. After landing; Ground cleared us to taxi C; A; to the gate. However; taxiing clear of the runway; I went to Taxiway D based on the red area I had drawn on my EFB 10-9 page and the taxiway closure NOTAM. Half-way up Taxiway D; I noticed there were no closure markings or construction on Taxiway C.We queried Ground about our clearance and he stated 'C; A; to the gate.' We mentioned we had taken D in error. He said 'no problem; continue D; A; to the gate.' We didn't mention the ATIS NOTAM as I wasn't sure if I had read it correctly. After aircraft shutdown; we looked at the ATIS again and noticed we had read the closure correctly and it was still listed in the current ATIS.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.

Attributes
ACN	1723980
Time
Date	202002
Local Time Of Day	1201-1800
Place
Locale Reference	RDU.Airport
State Reference	NC
Environment
Light	Daylight
Aircraft 1
Make Model Name	Commercial Fixed Wing
Operating Under FAR Part	Part 121
Flight Phase	Taxi
Flight Plan	IFR
Person 1
Function	Captain Pilot Flying
Experience	Flight Crew Last 90 Days 559 Flight Crew Type 10500
Events
Anomaly	ATC Issue All Types Deviation - Procedural Clearance Deviation - Procedural Published Material / Policy Ground Incursion Taxiway

Air carrier captain reported a taxiway was notamed closed due to construction at rdu airport; however the NOTAM was not included in the ATIS information and ground control issued taxi instructions via the closed taxiway.