This frame is damaged and I’ve cut a chunk of the damaged section out using my multi cutter.

Can I find a decent chunk of wood (not too flimsy) and glue in using Stixall? This will allow me to put some blobs of adhesive underneath and level the wood flush at the top. I can the use two part filler on any gaps.
Finally, I can sand it all and drill in holes for latch and plate.
Would this work or should I be doing this differently?

Can I find a decent chunk of wood (not too flimsy) and glue in using Stixall? This will allow me to put some blobs of adhesive underneath and level the wood flush at the top. I can the use two part filler on any gaps.
Finally, I can sand it all and drill in holes for latch and plate.
Would this work or should I be doing this differently?