John's suggestion is a great one.
If you really want to minimize how much footing you have to chop out, and if the linear drain is a bottom outlet drain that is actually at the edge of the footing as shown, you could do the vent as follows: (I'll sketch you an isometric if the narrative isn't clear enough):
Chop out for the drain riser (tailpiece) to hit a p-trap with the U-bend pointed away from the double wall to hopefully get the drain outside the footing. Then point the elbow outlet of the p-trap at a diagonal to the right and towards the bottom of the page. Then almost immediately hit a wye. The wye is going to be rolled 45 degrees above horizontal (minimum for a dry vent takeoff) and with the branch inlet (vent) pointed towards that double wall. The vent will have to go back through the footing to get to under the double wall, then it will hit a 60 to turn vertical.
The lower the p-trap, the deeper you have to chop into the footing for the drain riser and the vent. But if you have the p-trap too high, the vent could rise out of the slab before it gets under the wall. You want a minimum of 2" of concrete over the 60 degree elbow's non-vertical leg, 4" would be better.
Cheers, Wayne