Oil pump shaft (intermediate shaft?) play/noise

So I've kept investigating the strange knocking/pinging of my car. So far I've checked cylinder pressures, oil, oil pressure, opened oil filter, tested pistons for vertical slack with screwdriver after tdc, flex plate bolts, valvetrain etc. Everything seems completely ok. However today I found out the exactly same noise when I touched my distributor.

The noise is usually present when at idle and cruising at 3000rpm. Here's a video of the issue and the sound: https://youtube.com/shorts/yLpCCzsuVWk (sorry it uploaded to youtube shorts automatically from my phone, Ill fix it when I get home if it doesn't work properly on pc)

So the question: Should there be that kind of play and should it make that kind of noise? If the answer is no, then what should I do to diagnose it further?