I haven’t used goop on auto tires but have many times on bicycle tires. More often than plugging leaks it didn’t and it fouled the adhesive of the patch; I had to discard the tube.
It’s easy to plug an auto tire with inexpensive patches. They’ve held well for years (though not forever) for me. If plugs for auto tires work the way plugs for bicycle tires do, goop will foul the adhesive, it won’t stick. I might try it but be prepared for it to fail immediately. A real repair, which would include cleaning out the tire, is probably the best solution.
If the tire has been inflated with that canned stuff (e.g., Fix-a-flat) it has flammable gas in it. Be sure to warn the tire-person.