EGGS!!
........... I´m just kidding
It´s the season for it
If you are unsure if they are fertilized I would definitely boil and put them back once cool
100%
Get the water boiling, then drop the egg in. 2 minutes is plenty, then pull it out, sit it on the side and let it cool before giving it back to Larry. Put it exactly where you found it.
Leave it for a few days and observe. Are the birds tending the egg? Or are they ignoring it?
If they made a nest, or tried to make a nest, then put the egg nicely in the nest. It is better the hen broods her egg, because that is the time in which the hen recovers.
If a few days pass and they have not gone near the egg, and there is no nest, and no second egg, then just remove it.
Eggs are laid every other day usually.
Knowing Larry is a hen, dummey eggs / fake eggs are super handy, especially as you have a pair, once they lay eggs that they tend to, you will find they get stressed when you take the egg, having a dummy egg to quickly switch, cuts down on the stress:
Dummy eggs / Fake eggs