If you have filed early before the exclusion, the IRS will recalculate your return for the new 10,200 unemployment exemption for you. There is no need for taxpayers to file an amended return unless the calculations make the taxpayer newly eligible for additional federal credits and deductions not already included on the original tax return.

Just keep waiting.  The IRS is sending them out in batches over the summer.

See IRS article May 14, 2021

https://www.irs.gov/newsroom/irs-begins-correcting-tax-returns-for-unemployment-compensation-income-...

And see,

https://www.irs.gov/newsroom/irs-sending-more-than-2-point-8-million-refunds-to-those-who-already-pa...

Do you need to amend your state return?

https://ttlc.intuit.com/community/state-taxes/help/do-i-need-to-amend-my-state-return/00/2134732

Q.   How do I know if I should be expecting taxes on the 10,200 in UC?

A. Prepare a test return with $10,200 less income  and compare the result to the original return.  You can use this tool 

https://turbotax.intuit.com/tax-tools/calculators/taxcaster/?s=1

Based on the info you provided; it's highly unlikely that you will be getting any additional refund.