If you don't feel like buying more bits you can always do more than 1 pass with a smaller bit, but this requires a lot of careful measuring and time.
Or you can use two pieces of straight edge on either side of your dade, set to the thickness of your piece and clamped down to form a jig. It should take less than 2 minutes - TOPS.
If you're doing it this way, get a
1/
2" straight bit. It's an in pass, move to the other side, and an out pass. Done.
Look for "plywood bits". They'll be close enough that the glue will cover any minor gap. Use Gorilla Glue to REALLY fill the gap.
That's even quicker.