My Photoshop version is 24.3.0 and Camera Raw is 15.3. I don't have a workflow to share. I am an individual user and don't keep a workflow app active. I am attaching a screenshot of the Lens Correction screen but could not keep the Dropdown box diplayed when using Preview to capture the screen. The Adobe chat disappeared on my when I went to grab a screensave in my Photoshop. The recommendation had been to use the "All" selection in the dropdown instead of looking for the R7. When I tried used that approach ( instead of selecting the R6 option), the result seemed to have less precise resolution. I hope this information helps you to trouble shoot the problem or mislabeling of supported cameras.
You shouldn't apply additional lens correction at this stage - it should already be applied to the raw file in Camera Raw/Lightroom! This is the Photoshop lens correction panel, so this is a rendered RGB file, with the lens profile already baked into the pixel data.
You don't want to do it twice - unless you turned off lens correction in ACR/Lightroom. But that's not even possible with many modern mirrorless systems (I use Sony, not Canon, so I'm not familiar with Canon's policies here). In that case the manufacturer's lens profile is embedded in the raw file, and the manufacturer doesn't necessarily permit disabling this profile.
So what would be of interest here is to see the lens correction panel in ACR/Lightroom, not Photoshop. Is the profile applied there?
Regardless of all that, there is no particular need for any lens profile in this shot. There are no geometrical elements that need correction, and there is no obvious vignetting. There is nothing that needs lens correction here.
BTW "workflow" just means how you work, what applications you use and what tools in those applications, and in which order. Just a description of what happens to the file from camera to finished image.
One more thing - it's a lens profile, not a camera profile. The camera model is only relevant insofar as it's a full-frame vs crop-sensor camera. As I understand the R7 is crop sensor, while the profile was made on a full frame R5. So yes, that matters. But if the manufacturer lens profile is automatically applied in ACR/Lightroom, that's already taken care of.