Revisit Tyrus logging, prefer System.Logger instead of JUL or STDOUT.

This sparked my interest when I have noticed this in logs of the GlassFish Server 7.1.0 running TCK 10.0.7. GlassFish redirects STDOUT to own GJULE handlers, but using STDERR/STDOUT still harms performance, readability and ability to filter and redirect logging.

Also, I am not sure, if this should be processed as an error, but that is controversial with any library working with I/O, how they should handle request to stop, because then clients can block restarts OR their request can be interrupted.

Maybe we should do something like

> If we were asked to stop, log these errors just as debug level, count them, and when we really stopped, log just warning about the count of interrupted sessions/requests, whatever it is.

```
03:21:51.393 [2026-02-07T02:20:42.318568Z] [GF 7.1.0] [SEVERE] [] [jakarta.enterprise.logging.stderr] [tid: _ThreadID=93 _ThreadName=http-listener-1(2)] [levelValue: 1000] [[
03:21:51.393 java.lang.IllegalStateException: The connection has been closed.
03:21:51.393 at org.glassfish.tyrus.core.TyrusSession.checkConnectionState(TyrusSession.java:544)
03:21:51.393 at org.glassfish.tyrus.core.TyrusSession.getBasicRemote(TyrusSession.java:207)
03:21:51.393 at WebappClassLoader//com.sun.ts.tests.websocket.spec.servercontainer.addendpoint.WSTestServer.onClose(WSTestServer.java:148)
03:21:51.393 at java.base/jdk.internal.reflect.DirectMethodHandleAccessor.invoke(DirectMethodHandleAccessor.java:103)
03:21:51.393 at java.base/java.lang.reflect.Method.invoke(Method.java:580)
03:21:51.393 at org.glassfish.tyrus.core.AnnotatedEndpoint.callMethod(AnnotatedEndpoint.java:556)
03:21:51.393 at org.glassfish.tyrus.core.AnnotatedEndpoint.onClose(AnnotatedEndpoint.java:571)
03:21:51.393 at org.glassfish.tyrus.core.AnnotatedEndpoint.onClose(AnnotatedEndpoint.java:580)
03:21:51.393 at org.glassfish.tyrus.core.TyrusEndpointWrapper.onClose(TyrusEndpointWrapper.java:1246)
03:21:51.393 at org.glassfish.tyrus.core.TyrusWebSocket.onClose(TyrusWebSocket.java:110)
03:21:51.393 at org.glassfish.tyrus.core.frame.CloseFrame.respond(CloseFrame.java:112)
03:21:51.393 at org.glassfish.tyrus.core.ProtocolHandler.process(ProtocolHandler.java:826)
03:21:51.393 at org.glassfish.tyrus.core.TyrusWebSocketEngine$TyrusReadHandler.handle(TyrusWebSocketEngine.java:552)
03:21:51.393 at org.glassfish.tyrus.servlet.TyrusHttpUpgradeHandler.onDataAvailable(TyrusHttpUpgradeHandler.java:150)
03:21:51.393 at org.apache.catalina.connector.InputBuffer$ReadHandlerImpl.processDataAvailable(InputBuffer.java:422)
03:21:51.393 at org.apache.catalina.connector.InputBuffer$ReadHandlerImpl.onDataAvailable(InputBuffer.java:387)
03:21:51.393 at org.glassfish.grizzly.http.io.InputBuffer.invokeHandler(InputBuffer.java:1019)
03:21:51.393 at org.glassfish.grizzly.http.io.InputBuffer.invokeHandlerOnProperThread(InputBuffer.java:1012)
03:21:51.393 at org.glassfish.grizzly.http.io.InputBuffer.append(InputBuffer.java:907)
03:21:51.393 at org.glassfish.grizzly.http.server.HttpServerFilter.handleRead(HttpServerFilter.java:224)
03:21:51.393 at org.glassfish.grizzly.filterchain.ExecutorResolver$9.execute(ExecutorResolver.java:88)
03:21:51.393 at org.glassfish.grizzly.filterchain.DefaultFilterChain.executeFilter(DefaultFilterChain.java:246)
03:21:51.393 at org.glassfish.grizzly.filterchain.DefaultFilterChain.executeChainPart(DefaultFilterChain.java:178)
03:21:51.393 at org.glassfish.grizzly.filterchain.DefaultFilterChain.execute(DefaultFilterChain.java:118)
03:21:51.393 at org.glassfish.grizzly.filterchain.DefaultFilterChain.process(DefaultFilterChain.java:96)
03:21:51.393 at org.glassfish.grizzly.ProcessorExecutor.execute(ProcessorExecutor.java:51)
03:21:51.393 at org.glassfish.grizzly.nio.transport.TCPNIOTransport.fireIOEvent(TCPNIOTransport.java:510)
03:21:51.393 at org.glassfish.grizzly.strategies.AbstractIOStrategy.fireIOEvent(AbstractIOStrategy.java:82)
03:21:51.393 at org.glassfish.grizzly.strategies.WorkerThreadIOStrategy.run0(WorkerThreadIOStrategy.java:83)
03:21:51.393 at org.glassfish.grizzly.strategies.WorkerThreadIOStrategy$WorkerThreadRunnable.run(WorkerThreadIOStrategy.java:101)
03:21:51.393 at org.glassfish.grizzly.threadpool.AbstractThreadPool$Worker.doWork(AbstractThreadPool.java:535)
03:21:51.393 at org.glassfish.grizzly.threadpool.AbstractThreadPool$Worker.run(AbstractThreadPool.java:515)
03:21:51.393 at java.base/java.lang.Thread.run(Thread.java:1583)

```