Should be fine, just a bit complicated.
You would have to take the new seedlings out before 10 am/lights out, then put them in the tent around 4pm and make sure your flowering plants did not get any light on them. You can not, for example,, take the new seedlings out at noon, you would need to keep the new seedlings under a continuous 18 hours of light, they can not get 12 hours, a couple hours of sleep then another 6 hours of light. This would be 2 separate light cycles in one 24 hour period.