Notice the ring on the floor. You'll need to use the grapple on that to swing across.
Slide a bit, then jump and press Q.
Use the Front/Back direction keys to get higher and in the end press Jump to release the grapple and grab the ledge.
Use the ledges to get to the left side.
You'll need to do a back jump to the platform on the other side.
And you now have the artifact #2.
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