The 3 Ses have been completed. ready to roll now..
After the blood tests, I will stop and get some breakfast likely a drive thru.
Then I have to babysit the wild indians while their mother goes to the eye doctor...
Mickey D's used to have a "steak, egg and cheese" bagel sandwich. The "steak" was just a burger patty, so there is precedent! I'd say you're good to go.
As a side note, "everything" bagels make excellent burger buns. Just sayin'... I rarely buy regular hamburger buns because they usually don't get used up before they go bad, so the bagels do double duty (breakfast or lunch).