After getting to the bottom of squeaks on my disc brakes (replaced disc and pads) I was taking a look at the bike and chainset, chain etc.Chain is showing as worn by the chain checker and outer ring looks like this.No jumping or skipping so do I ride on until kaput or replace.
Recommend you procure new chain and cassette. [Edited various]
Replace chain (keep hold of old chain - see below) and test to see if the cassette will take it (depends on how far you ridden on the cassette/chain since the chain elongated beyond 'limit'). You may be lucky / have caught it. But more likely the new chain will slip on the worn cassette when you (with care) put a bit of power on).
In which case pop the new cassette on.
Or put the old chain back on and ride till it slips: the cassette and chain can wear in synch.
I would ride the chainring until I get slipping, (slip will just be on that ring, maybe - depends on your riding style eg 'I stay in the big ring policy). I have just had this (new chain and cassette, and still slipping but only on the outer 52t). I was expecting the ring to ask for replacement soon (I had replaced the inner and middle ones a while ago) so had one ready to fit.
Your chainring is worn but you should still be able to ride it. Procure a replacement ready for whenever.