I just ran into the exact same issue. Used a dash skill to get to the end, couldn't interact with the cogitator.

Same for me. Mouse movement and key movement does not work. Also restarted mission several times, restarted the game, still can not move. Looked like my boots of the power armot was stuck under the floor, so I canged armor to the one with the jump pack to see if I could jump out of the area... nope, character just jumps straight up. Looks like the cursor does not register the movement clicks as it does not change cursor icon when trying to move.