Default beam exceptions for 4/4

[David Poon]

Is it possible to set automatic beaming in 4/4 time such that

4 4 8[ 8 8 8]

but

4 4. 8 8[ 8]

? (i.e., I'd like to beam 8ths together in twos or fours, but never threes)

(The only previous message I saw on this topic didn't appear to be answered: https://lists.gnu.org/archive/html/lilypond-user/2020-04/msg00195.html)

Thank you!

-David