I can’t personally help
But i’d encourage you to source one of these, or even a cable with one of these attached
So you’d either solder on the DC barrel or you’d splice the good end onto the OT psu cable having removed the suspect barrel
Firstly you should (i.e. definitely) check the PSU with a voltmeter, these can be handy around teh house and you don’t need a fancy one to read DC voltage
Check the PSU output is correct and see if teh cable entry to teh barrel is loose and interrupting teh power (if any)
You need some way to establish what is +ve with either the replacement of teh barrel or adding a cable end - the barrel is neater, but the cable method can at a push be done temporarily and safely without any tools, but you’ll need to be confident about isolating the two cores twisted together
I’ve done both recently a new barrel and reversing polarity of a cable by splicing the cable and flipping it - but i have soldering kit and heatshrink tubing and ways to make it neat and sturdy
Sounds like the barrel is a not uncommon issue - if you can access or do DIY then that might be a lot cheaper than a replacement (or substitute) - but not if you need to buy tools you may not need afterwards
Obviously with all of these posts - do all the due diligence yourself, don’t trust a stranger on the internet - but at one extreme if you have teh knowledge and kit then your solution could be a dollar or so away with one of these (i.e. SIMILAR)
Link