the > cut edge to restore the strength.
I've worked out a way to use the larger Ikea table (thanks, alan_m) which will involve cutting the top to length. I've been wondering if I could separate the end of the discard piece complete with what appear to be solid blocks at its corners and inveigle that into the open end of the piece I'm going to use. Your use of a new piece of timber sounds rather easier.
If all that fails, thanks for the door idea.
Bert