Revert "Move log_listener call into the reboot trap (flutter#16564)"

This reverts commit 273760e.

Author: NoamDev

testing/fuchsia/run_tests.sh

@@ -25,11 +25,6 @@ else
 fi
 
 reboot() {
-  echo "Dumping system logs..."
-
-  ./fuchsia_ctl -d $device_name ssh \
-      -c "log_listener --dump_logs yes"
-
   # note: this will set an exit code of 255, which we can ignore.
   ./fuchsia_ctl -d $device_name ssh -c "dm reboot-recovery" || true
 }
@@ -74,3 +69,7 @@ done
     -t shell_tests \
     -a "--gtest_filter=-ShellTest.HandlesActualIphoneXsInputEvents:ShellTest.CacheSkSLWorks:ShellTest.SetResourceCacheSize*:ShellTest.Screenshot:ShellTest.WaitForFirstFrameTimeout"
 
+echo "Dumping system logs..."
+
+./fuchsia_ctl -d $device_name ssh \
+    -c "log_listener --dump_logs yes"