There is a "Tell-Tale" line around most tires for judging the equal seating of the tre around the rim, but to eyeball that and actually verify that it is correct may take a talented "eye". Obvious diversion of that line indicates a big lack of truness in the seating and I would think such a tire would leak air fast enough to call one's attention. The time to check the bead seating is right after the seating attempt. Check for air leaks at beads too. If the installer do those things, then the non mechanical rider is down the creek with no paddle.
If you can steady the steering (lock it in a straight forward position), you could also visually check run-out in side to side and vertical plane. Run-out error could be due to poor seating of tire, damaged/defective tire, damaged/defective rim, or bent axle. You can use smooth wood or other material blocks set beside the tire as it tuns slowly to judge run-out rougly and sight the air gap between the floor and tire as it tuns for vertical plane. If run-out is noticed in this rough method, use of a proper gague is needed for more accurate measure. I tink wobbles from the rear are more common, but the OP stated this one commenced with install of new front tire.
prs