Replace an alternator on a Mercury Cougar

5. Raise and support the vehicle.
6. Remove the right-hand front wheel.

7. Remove the splash shield.

8. Rotate the accessory drive belt tensioner clockwise.

O Remove the accessory drive belt.
REMOVAL

1. Disconnect the battery ground cable.
2. Remove the accessory drive belt. For additional information, refer to Drive Belts, Mounts, Brackets and Accessories.

3. Separate the tie-rod end from the wheel knuckle using the special tool 211-001 (TOOL-3290-D).

CAUTION: Protect the ball joint seal to prevent damage.

4. Disconnect the generator electrical connectors (generator shown removed for clarity).

5. Remove the generator rear support bracket bolt.

6. Remove the generator upper bolt.

7. Remove the generator lower bolt.

8. Remove the generator through the wheel opening.
There you go I posted instruction's on drive belt removal then the alternator.

Replacing the alternator on this vehicle does require removal of the front passenger side wheel. This is the best way to access the alternator.
Also, the tie rod end needs to be removed.

https://www.2carpros.com/articles/how-to-replace-an-alternator

I have attached little more clear diagrams below. Also included the drive belt diagram and procedure.

Please let me know if you have any questions.
Thank you.