Create three unique tag page templates

If you really want to use a singular tag.php file, you can run a regex on your $_SERVER['HTTP_REFERER'] value to determine where you’re coming from and then load a template part depending on the result, just be sure to have a default in there. Sorry, I can’t be more specific on the regex without knowing your URL structure.

If there’s just a specific part of the template – like the slider – that you want to display conditionally I would wrap that in an if statement rather than swapping out the entire template for maintainability.