I am going by memory, the door shown in Image 1 shows the damaged area which I built out.
First I nailed some small nails into the wood on the broken edge to give the bond some strength, and something for the bond material to hold on to.
Then as each application dried, I sanded, shaped and then applied more of the bond until it was the exact same shape as the other doors.
Some years later the Government got the carpenters and painters in and my mother showed them the cupboard and they said it was excellent and they would just sand it lightly and repaint it. They said that it was a good fix and repair job.
All the best from
James M Sandbrook.
22nd of April, 2021.