Finding/Counting unique values over multiple tabs

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

Attach a sample workbook (not a picture!). Make sure there is just enough data to demonstrate your need. Include a BEFORE sheet and an AFTER sheet in the workbook if needed to show the process you're trying to complete or automate. Make sure your desired results are shown, mock them up manually if necessary.

Remember to desensitize the data.

Click on GO ADVANCED and then scroll down to Manage Attachments to open the upload window.