Show Schema (APPLICATION) Name when connection is opened

Is it possible to enrich JDBC jog file and log the database schema opened ?(meaning to have the value of APPLICATION=XXX).

Indeed right know, only the DSN name (ADV), and the Connx user are displayed on the log :

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Mar 1 16:36:26.914 2021@@15392 @LM_INFO @ambrosia| UPTIME:(00 00:00:06.511 ) IP:(127.0.0.1 ) TID:(5152 )==> 2019(W): Connecting to DSN: (ADV).

Mar 1 16:36:32.679 2021@@15392 @LM_INFO @ambrosia| UPTIME:(00 00:00:12.276 ) IP:(127.0.0.1 ) TID:(5152 )==> 2023(W): Connected to DSN (ADV) with CONNX user (BAT01_CONNX)..

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Could you please add the application value :APPLICATION (JUPITER)