Let's assume there are nine features in the 'grid_test' (redishreddish) layer, see the image below.
Use the the GDAL's "Dissolve""Dissolve" (GDAL > Vector geoprocessing > Dissolve
) from the Processing Toolbox (Ctrl+Alt+T).
Tick the 'Produce one feature for each geometry in any kind of geometry collection in the second source' in Advance Parameters.
Press Run and get the output like this: