Quickly switch from one file already open to another

Have you tried using the Mac shortcut Cmd+~ (tilda key- left of number 1)?

That swaps your open tabs, leaving your mouse in the same position.

As Stephen mentioned, I used to the spot healing brush tool, by creating an action to hit all the spots. I preferred this over doing it in Camera Raw, as it just seemed to blend better, when changing images. I had a job where I shot thousands of images for stacking, and this worked well. If course, you really need to check each image to make sure the correction didn't mess up some detail, like a facial feature.

A better way is to use Adobe Bridge and Adobe Camera Raw and sync the healing tool from one raw file to all other raw files.

Alternatively, for rendered files such as JPEG, record an Action using the Camera Raw Filter (different, but similar to the first suggestion) and then use the Automate Batch command to run the Action of a folder of files.

Another option is to record an Action for filling selections with content-aware fill, then run them via Batch.

To answer your original question, although the previous three methods much better... The following JavaScript will cycle forwards through open doc windows, the script can be assigned a custom keyboard shortcut:

// Cycle forwards through open doc windows
var idselect = stringIDToTypeID("select");
    var desc410 = new ActionDescriptor();
    var idnull = stringIDToTypeID( "null" );
        var ref119 = new ActionReference();
        var iddocument = stringIDToTypeID( "document" );
        ref119.putOffset( iddocument, 1 ); // -1 to cycle backwards through open doc windows
    desc410.putReference( idnull, ref119 );
    var iddocumentID = stringIDToTypeID( "documentID" );
executeAction( idselect, desc410, DialogModes.NO );

https://prepression.blogspot.com/2017/11/downloading-and-installing-adobe-scripts.html