Seems so simple but I can't get there...

In Sheet1 I have people and amounts:
Capture.PNG
In Sheet2 I have other people and amounts:
Capture2.PNG
In Sheet3 I need to consolidate them:
Capture3.PNG

For my project, awards, people may have received multiple awards but it's important that I don't count them multiple times. SUMIF is certainly easy enough for the amounts (Randy has 300), but I need the Count of each person to be only 1 (unique)... COUNTIF can't do it. We can obviously do this with the extra steps of combining all the names from the different sheets > removing duplicates > pasting the resulting unique list somewhere and summing off that, but I want to specifically avoid that sequence.

I've tried wrapping FREQUENCY and other things around my CountIF, but the multiple tabs has me stumped. What do you think?
Thanks