Hi,
Oftentimes, a click when trying to engage the starter motor is the result of a poor connection. Since you have already cleaned the cables and are hearing the starter relay click, it sounds like the starter motor may have failed.
The easiest way to check is by performing this. Have a helper turn the key to the start position while you check for power at the smaller wire on the starter motor. You should see 12v only when in the start position of that wire. I attached the wiring schematic below showing the wire at the starter. It is purple in color.
Here is a link you may find helpful when testing:
https://www.2carpros.com/articles/starter-not-working-repair
Additionally, here is a link that explains how to test wiring:
https://www.2carpros.com/articles/how-to-check-wiring
I hope this helps. Let me know if you have other questions.
Take care,
Joe
See pics below.
Note: I had to cut the schematic in half to make it readable. I did overlap it so you can follow from one to the next.
Images (Click to make bigger)
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Saturday, December 4th, 2021 AT 10:19 PM