The hot side has 2 black wires under 1 hot screw and a yellow wire under the other hot screw. I don't know which side is switched and which side is constant hot.
Attach your fan hot wire into the back of the outlet in the stab in hole.
The neutral has 1 white wire in the back of the oultet in the stab in hole and 2 white wires under the screw.
Attach your fan neutral wire into the back of the outlet in the stabe in hole.
If this is not the switched half of your outlet, then attach your fan neutral under the screw.
However, what I would do is group all the hots for the top half of the outlet under a wire nut with a pigtail and attach the pigtail to the top hot screw of the outlet. Then group all the neutrals for the top half of the outlet under a wire nut with a pigtail and attach the pigtail to the top neutral screw of the outlet. Repeat this procedure for the bottom half of the oulet, hot & neutral. Include your fan wires in wire nut grouping that is the switched power.
And of course you'll use conduit and THNN wire in addition to pulling a permit