jOOQ - Get Connection URL from a DataAccessException - exception

Question

In case jOOQ can't connect to a database, executing SQL against it will result in a DataAccessException.
Is there a way to get the url of the database/connection against which the query was attempted, just from this error?
Edit, adding more context:
We have a simple connection pooling implementation using a HashMap and its computeIfAbsent().
If DSL.using(url) does not throw an Exception, we consider the connection established and keep the resulting DSLContext as value in said map (url is key).
Assume there are multiple connections in the pool.
We have an ExecuteListener attached to the DSLContext and in it, we catch DataAccessExceptions. When caught, we validate the connection with: executeContext.dsl().diagnosticsConnection().isValid(1).
If the connection became invalid, we would like to flag it as such but the only way to find out which one it is, is to loop over the connection pool map because executeContext.dsl().parsingConnection().getMetaData().getURL() is no longer an option.
Here's an example stack trace. It's different for each of the DB engines we connect to but always wrapped in org.jooq.exception.DataAccessException.
org.jooq.exception.DataAccessException: SQL [select count(*) from (select * from actor) as `alias_4914265`]; (conn=1) unexpected end of stream, read 0 bytes from 4 (socket was closed by server)
at org.jooq_3.12.3.MARIADB.debug(Unknown Source)
at org.jooq.impl.Tools.translate(Tools.java:2717)
at org.jooq.impl.DefaultExecuteContext.sqlException(DefaultExecuteContext.java:755)
at org.jooq.impl.AbstractQuery.execute(AbstractQuery.java:382)
at org.jooq.impl.AbstractResultQuery.fetchLazy(AbstractResultQuery.java:501)
at org.jooq.impl.AbstractResultQuery.fetchLazy(AbstractResultQuery.java:470)
at org.jooq.impl.AbstractResultQuery.fetchLazyNonAutoClosing(AbstractResultQuery.java:484)
at org.jooq.impl.AbstractResultQuery.fetchOne(AbstractResultQuery.java:653)
at org.jooq.impl.AbstractResultQuery.fetchOne(AbstractResultQuery.java:605)
at org.jooq.impl.AbstractResultQuery.fetchOne(AbstractResultQuery.java:611)
at org.jooq.impl.SelectImpl.fetchOne(SelectImpl.java:2847)
at com.datoris.base.AbstractBaseTypeImpl.executeReport(AbstractBaseTypeImpl.java:134)
at com.datoris.service.ReportService.executeReport(ReportService.java:508)
at com.datoris.verticle.ReportVerticle.lambda$completeStartup$0(ReportVerticle.java:29)
at io.vertx.core.eventbus.impl.HandlerRegistration.deliver(HandlerRegistration.java:261)
at io.vertx.core.eventbus.impl.HandlerRegistration.handle(HandlerRegistration.java:239)
at io.vertx.core.eventbus.impl.EventBusImpl$InboundDeliveryContext.next(EventBusImpl.java:565)
at io.vertx.core.eventbus.impl.EventBusImpl.lambda$deliverToHandler$5(EventBusImpl.java:524)
at io.vertx.core.impl.ContextImpl.executeTask(ContextImpl.java:320)
at io.vertx.core.impl.WorkerContext.lambda$wrapTask$0(WorkerContext.java:34)
at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1149)
at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:624)
at io.netty.util.concurrent.FastThreadLocalRunnable.run(FastThreadLocalRunnable.java:30)
at java.lang.Thread.run(Thread.java:748)
Caused by: java.sql.SQLNonTransientConnectionException: (conn=1) unexpected end of stream, read 0 bytes from 4 (socket was closed by server)
at org.mariadb.jdbc.internal.util.exceptions.ExceptionMapper.get(ExceptionMapper.java:240)
at org.mariadb.jdbc.internal.util.exceptions.ExceptionMapper.getException(ExceptionMapper.java:171)
at org.mariadb.jdbc.MariaDbStatement.executeExceptionEpilogue(MariaDbStatement.java:248)
at org.mariadb.jdbc.ClientSidePreparedStatement.executeInternal(ClientSidePreparedStatement.java:230)
at org.mariadb.jdbc.ClientSidePreparedStatement.execute(ClientSidePreparedStatement.java:157)
at org.jooq.tools.jdbc.DefaultPreparedStatement.execute(DefaultPreparedStatement.java:209)
at org.jooq.impl.Tools.executeStatementAndGetFirstResultSet(Tools.java:3928)
at org.jooq.impl.AbstractResultQuery.execute(AbstractResultQuery.java:294)
at org.jooq.impl.AbstractQuery.execute(AbstractQuery.java:368)
... 20 common frames omitted
Caused by: java.sql.SQLNonTransientConnectionException: unexpected end of stream, read 0 bytes from 4 (socket was closed by server)
at org.mariadb.jdbc.internal.protocol.AbstractQueryProtocol.handleIoException(AbstractQueryProtocol.java:1925)
at org.mariadb.jdbc.internal.protocol.AbstractQueryProtocol.readPacket(AbstractQueryProtocol.java:1437)
at org.mariadb.jdbc.internal.protocol.AbstractQueryProtocol.getResult(AbstractQueryProtocol.java:1415)
at org.mariadb.jdbc.internal.protocol.AbstractQueryProtocol.executeQuery(AbstractQueryProtocol.java:289)
at org.mariadb.jdbc.ClientSidePreparedStatement.executeInternal(ClientSidePreparedStatement.java:221)
... 25 common frames omitted
Caused by: java.io.EOFException: unexpected end of stream, read 0 bytes from 4 (socket was closed by server)
at org.mariadb.jdbc.internal.io.input.StandardPacketInputStream.getPacketArray(StandardPacketInputStream.java:246)
at org.mariadb.jdbc.internal.io.input.StandardPacketInputStream.getPacket(StandardPacketInputStream.java:215)
at org.mariadb.jdbc.internal.protocol.AbstractQueryProtocol.readPacket(AbstractQueryProtocol.java:1435)
... 28 common frames omitted