Benax is very strong here and will probably defeat both of the first two dogs on its own, leaving your remaining two pets to leisurely clean up. I used Gulp Froglet for this, but nearly any Aquatic pet should work. You probably won't even bring the third pet out.
TD script courtesy of Thordros#1784.
Based on the comments below, Mud Jumper (suggested alternative to Benax) will not be able to pull this off as written regardless of what breed you use. However, you can still win with Mud Jumper with some improvisation and more careful selection of your second and third pet.
The strategy offers a TD script that can be used with the TD Script addon. You can copy the script by clicking on the button to the left of the pets.
This strategy has been built to be as fast as possible.
The strategy takes a while. Sit back, get yourself a warm drink and relax the scenery.
Not every strategy can be bullet proof. This is one of them. You might have to restart it, since there are some random elements that increase the risk of your pets failing. Don't blame them, please!
You want a strategy that does the job in one shot? This might be the one for you!
Some instructions are more difficult to follow than others. That's exactly what you might find in this strategy!