With an account from Copernicus Open Access Hub, it's time to download a copy of the data (between 200MB and nearly 1GB zip files)! Personally I use Sentinel-hub EO Browser to get it. Use credentials from Copernicus Open Access Hub to proceed downloading them.
In the downloaded zip file, browse for the /GRANULE/a folder with a really long name/IMG_DATA/ subfolder. Use your favourite file manager. For this example, the folder with a really long name is L1C_T47NQD_A015059_20200124T034212.
Look for a JP2000 file with a _TCI suffix for its name. See example in gallery below (the desired file is T47NQD_20200124T033029_TCI.jp2).
Extract the file if it's still unzipped.
Open the long filename_TCI file with QGIS. Adjust colour levels, trim if needed, etc. Save as TIFF file.
View the TIFF file directly from JOSM! Trace, trace, trace to your heart!
Something else...
Speaking of AWS S3 Bucket, if you have access to it, (Requester Pays, said AWS) you can easily download a single TCI (oh, which means True Colour Imagery) file, rather than downloading an archive which is 5-10 times bigger.
Why trimming (or extracting, per QGIS) is important? Unless your machine and Java/OpenJDK runtimes was set with higher memory consumption, weaker machines may struggle with even a 200MB-ish TIFF file.
Step-by-step in pictures
Steps 4 and 5
Step 8 in brief
Final step
A bit of history
Why? Before more resources were shared by Esri and Maxar, and when Bing took a while to refresh their imagery, (keep in mind that this was 2013-2016), the available imagery for most of the country used to look much like the left part of this image:
In the absence of any open data from my country, I considered imageries from Sentinel-2 (right part of the image) came to the rescue!
Well, they are still useful today, due to the frequent updates - considering that Microsoft, Maxar and Esri (probably more to come?) may not offer more frequent imagery refresh.