# inter-rater agreement for data with nominal and ordinal responses

I'm trying to determine inter-rater reliability for ratings produced by 4 unique raters, with four possible ratings, NA, 0, 1, 2 corresponding to a quality judgement. I am interested in the distance between ordinal ratings, but also need to take into account the nominal rating NA which are valid responses. Is there any way I can do this with Krippendorff's alpha or some alternative estimate of inter-rater agreement? Should I just treat all responses as nominal? Thank you!

$$\pmatrix{ & \text{NA} & 0 & 1 & 2 \\ \text{NA} & 1.0 & 0.0 & 0.0 & 0.0 \\ 0 & 0.0 & 1.0 & 0.5 & 0.0 \\ 1 & 0.0 & 0.5 & 1.0 & 0.5 \\ 2 & 0.0 & 0.0 & 0.5 & 1.0\\ }$$