It might just be the bolts/nuts securing the hinge housing are loose. It's worth a check, especially as these are the bits you'll need to undo to change the darn thing anyway.
There's a slew of useful exploded diagrams available here, which might help. You need to copy and paste the link below into your browser BUT remove the XXX between "ranso" and "mspares"
https://www.ransoXXXmspares.co.uk/parts/brands/beko/cookers-hobs/xtg611s%20(7734986382)/?__cf_chl_tk=Sxz07dLilnervfH7iBU6Movx01.TcgtSUhOOTsiQryY-1708864866-0.0-4135
Gjjkc, February 2024
