Hello. Thank you for your report!
"Take wiretap kit" spot is a bit hard to find and is separate from the device itself.
Have you tried aiming around it with the menu opened to see if it pops up?
Tested on both English and Russian version:

I tried to find the point where the this menu will works, I've been doing this for a long time, but unfortunately without success. Everything that the context menu offered me in the screenshots (I also checked the integrity of the game files in "Steam" before that, just in case). Have you used the "final build" of the game? I have a "development branch" and tried now without MODs.

Now I have started this mission again from the beginning for the sake of the test, and every time the task to "Pick up the recording device" appeared, such an error appeared in the mission script.

Thank you for additional information! It will now be reviewed by a specialist in our internal QA system.