Mapping `logLevel` to `severity` in Effect logs for GCP compatibility

When using GCP logs it looks for a

severity

severity

field. Effect logs output a

logLevel

logLevel

field so all my logs are treated as

INFO

INFO

by GCP (the default value).
I did not find an easy way to tell GCP to look at

logLevel

logLevel

instead of

severity

severity

.
While I understand this is vendor specific (

severity

severity

logLevel

logLevel

vs ?? ), how could I modify the

jsonLogger

jsonLogger

to add this

severity

severity

field automatically?

I tried using

Logger.map

Logger.map

jsonLogger

jsonLogger

but the output is already stringified.