Welcome to the forums!
Do you know how many eggs she has laid so far? Is this the first time she laid a clutch of eggs without being encouraged to do so?
Given the circumstances, the best thing to do is to take the necessary measures to discourage further breeding behaviour which leads to the consequent egg laying.
If your female budgie hasn't started to fully incubate the eggs, then life hasn't been formed on the eggs and it's safe for you to discard them.
In order to throw your hen out of breeding condition and to break her egg laying cycle, it's best that you place her on a spare cage, don't provide any nesting/hiding areas.
It may also be best to give your more enamoured pair a break, by housing them on separate cages.
This will give them both time to cool off and hopefully get their hormones more under control.
During this time, you can temporarily house your budgies by gender (two girls in a cage and your boys in another cage).
Good luck with everything!