Hi! First off, no need to apologize for any questions, questions are why this forum is here!
The first thing to know is that there is no April 2021 ACS data. ACS data is released annually, and as you've found, the most recent estimates go up to 2019.
State and county unemployment data likely come from the BLS's Local Area Unemployment Statistics, which does incorporate some ACS data for its estimates, but also pulls from other sources (notably the BLS's Current Population Survey, which is used to create their monthly national unemployment data). More info on that here: https://www.bls.gov/lau/lauov.htm. Note that this source doesn't have smaller areas, like census tracts or zip codes.
The ACS does have unemployment data at small geographies, like zip codes. Small area data comes from the 5-year estimates, as that's the time required to collect a large enough sample of survey responses for these small areas. The most recent 5-year estimate covers 2015-2019 (so, a 5-year range centered around 2017). This is probably not your best bet for current unemployment rates, but it might give you a sense of how unemployment differs in different neighborhoods. It will be least helpful if the pandemic affected different populations differently (and someone can correct me if I'm wrong, but this may also be a shortcoming with the BLS LAU data).
One takeaway here is that you might gently ask whoever made the dashboard to make their sources clearer, since it's pretty important that people know where their data comes from. Please ask any more questions you might have!