the ENV["JULIA_DEBUG"] thing is a mess, that @c42f have been talking about replacing for years.
See DemuxLogger does not work with JULIA_DEBUG? · Issue #20 · JuliaLogging/LoggingExtras.jl · GitHub
I suggest LoggingExtras is a much better solution.
I would do something like (not tested).
using LoggingExtras
global_logger(EarlyFilteredLogger(ConsoleLogger(stdout, BelowMinLevel)) do log
# Keep any messages from MyModule or of Info level or greater
log._module == MyModule || log.level >= Info
end)