Gas around V4641 Sgr. Panel A: The velocity-integrated W_CO map from the DAME survey (all velocities). The dotted white line shows the 68% containment region of model A. Panel B: The same as panel A, but the map shows the hydrogen column density integrated in a range of 20 km s⁻¹ around the velocity corresponding to the position of V4641 Sgr. Panel C: The same as panel A, but the map shows the CO intensity (W_CO) from the NRO data integrated in a range of 10 km s⁻¹ around the velocity corresponding to the position of V4641 Sgr. The map has been smoothed with a 0.1° kernel to highlight the scales used to derive the density upper limit. The density upper limit was not derived using this map, but the noise level across all velocities. Panel D: The same as panel A, but the map shows the intensity of Hα emission integrated along the line of sight from Finkbeiner (2003). Panel E: Same as panel A, but the map shows the intensity of free-free emission integrated along the line of sight from Planck Collaboration X (2016). Panel F: The same as panel A, but the map shows the dust opacity integrated along the line of sight from Planck Collaboration X (2016).