you could set an additional "Active App Did Change" (or maybe better Focused Window Did Change) trigger in "Automations, named & other triggers":
Maybe also set a variable in your cmd+tab action, and only execute the "Active App Did Change" trigger if that variable has a specific value - and then unset it again. Otherwise this would trigger for any app change regardless of whether you triggered it via cmd+tab or not.
Here is an example preset:
winswi.bttpreset (7.9 KB)