Hello, my son is 7 weeks old, his very wriggly in the bassinet and I keep waking up to his face up against the side with non mesh. He is in a sleeping bag with arms out.. should I put the cot in our room until 6 months old? And have him in his room from 6 months of age? Thank you!!

Many babies will wriggle & change position at a younger age.
While most babies do not roll intentionally till about 3 months, some do roll early.
Also, some babies just do not respond well to wrapping & like their arms free.
Often these babies like their arms free or like to touch their face or suck fingers & will wriggle to get free.

I think you should move him to his cot to give him more space.
Baby needs arms free & the space of the cot to roll safely.
How does he go with tummy time when awake?

Once baby is showing signs of being able to roll, it’s time to move baby to a safe cot – this is usually around four months, but it will depend on your baby.
https://rednose.org.au/article/bassinets
https://rednose.org.au/article/what-do-we-do-now-that-a-baby-has-started-to-roll-over