Does it say on the receipt what oil was put in at oil change ?
all the computers and motor factors say use 5w30 fully synthetic BUT
Omega owners here say 10w40 semi synthetic
in my experience with 100K mile vauxhalls of the era ,5w30 semi is too p155y .unless they have had good quality oil ,regular service etc .
5w30 will leak from seals, blow past rings ,leak through VSO seals, strip built up deposits from parts of the engine etc
I've had a 1.6 with stuck piston rings AFTER a garage did a flush and used 5w30 oil (to reduce emissions
)
I had to strip that engine ,clean everything and rebuild it
the high emissions proved to be an injector leaking once rebuilt ,and it passed MOT with virtually zero CO & HCs
You should check if the blue smoke is actually coming from OUT the exhaust as part of your initial investigation IMHO