Loop A Comparison And On Match Return Earliest Date?

Using online examples I am usually capable to reconstruct whatever I need. However, it's the combination of things I need to do now, which has left me banging my head on the keyboard for days now

Here's the data I am working with:

Sheet 1:

Sheet 2:

And here's what I need to get done:

From sheet 1, select first ID entry from Column A.Find matching ID in Column A of sheet 2On match, find in Column B the earliest date belonging to the concerned IDCopy that earliest date next to the corressponding ID in Column B back on sheet 1Return to step 1 and repeat for next ID entry. Do until end of list (sheet1)

So the result should look as following on sheet 1:

The major issue I am having is the combination of step 3 and 5. Because it probably means something like moving through an array that's within an array through which one is moving. And I am just missing that bit of experience that allows me to make that thinking step. I just keep falling off if you know what I mean...