As written, it's broken. You don't need to burn round 3 bringing in your Corrupted Blood, it's automatically there at the start of round 3 because the recluse died on round 2.
So starting with the Ooze Touch that's currently written for round 4, subtract 1 from each round number. The important parts are you Explode on 7, Howl on 8, and start the Burrow on 9. Since your Pup is slower, you want to be underground at the start of round 10 to dodge the Antaen Cannon.
As a side note, he usually casts Antaen Cannon on round 9, but in this strategy it's delayed because of the interrupt you did with Paralyzing Venom on round 1.