no no no your fine on the fully synthetic,
Being honest with you ive youve already run it with fully synthetic theres not a lot of point putting cheap stuff in now.
When the engine is first built everything is very tight, and just after its first run even at idle everything has loosened up and significantly bedded in.
I'd just run it on your oil for a bit now and change it in a few hundred miles, as all the shit from the new parts will be in it.
Dont worry youve done nothing wrong