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A large fraction of the accreting supermassive black hole population isshrouded by copious amounts of gas and dust, particularly in the distant($z\gtrsim1$) Universe. While much of the obscuration is attributed to aparsec-scale torus, there is a known contribution from the larger-scale hostgalaxy. Using JWST/NIRCam imaging from the COSMOS-Web survey, we probe thegalaxy-wide dust distribution in X-ray selected AGN up to $z\sim2$. Here, wefocus on a sample of three AGNs with their host galaxies exhibiting prominentdust lanes, potentially due to their edge-on alignment. These represent 27% (3out of 11 with early NIRCam data) of the heavily obscured ($N_H>10^{23}$cm$^{-2}$) AGN population. With limited signs of a central AGN in the opticaland near-infrared, the NIRCam images are used to produce reddening maps$E(B-V)$ of the host galaxies. We compare the mean central value of $E(B-V)$ tothe X-ray obscuring column density along the line-of-sight to the AGN($N_H\sim10^{23-23.5}$ cm$^{-2}$). We find that the extinction due to the hostgalaxy is present ($0.6\lesssim E(B-V) \lesssim 0.9$; $1.9 \lesssim A_V\lesssim 2.8$) and significantly contributes to the X-ray obscuration at alevel of $N_H\sim10^{22.5}$ cm$^{-2}$ assuming an SMC gas-to-dust ratio whichamounts to $\lesssim$30% of the total obscuring column density. These earlyresults, including three additional cases from CEERS, demonstrate the abilityto resolve such dust structures with JWST and separate the differentcircumnuclear and galaxy-scale obscuring structures.

Resolving galactic-scale obscuration of X-ray AGN at $z\gtrsim1$ with COSMOS-Web