Unemployment adjustment

So I filled my taxes prior to the last stimulus changes and I had unemployment in 2020. I have checked my tax records online to see if they have processed and it looks like my refund will be sent 7/16. However, it looks like only the 1st 2 stimulus checks and my taxes were adjusted, not the third check. Has anyone who filed early and received their refund adjustment have all 3 checks accounted for or just the first 2? Is the 3rd check figured separately or do I have to claim it on my taxes next year or is there another process? Thanks for any help.