Adrianmsmith Dave do you know the correct tap size please to clean out the old thread locker on the back side of the valve.
Also what semi permanent thread locker would you use to re-assemble?
I would simply use a very small jewellers type screwdriver to un down the thread, you don’t need a tap and only need to get the loose stuff out.
Loxeal 18:10 is a good semipermanent thread locker, you will only need one or two drops…personally though I would try PTFE tape first as it’s much much cheaper and should work fine.
I took this wand apart completely and assembled it with Loxeal 18:10 https://www.ebay.co.uk/itm/314135700947?mkevt=1&mkcid=1&mkrid=710-53481-19255-0&campid=5338723872&toolid=20006&customid=ll0fvV4aAAAAiyt0J_JRzj-leU4wAAAAAA
You can also use Loctite 542