DEV: Log error encountered when reopening sidekiq logs (#27411)

We are seeing the following error in our logs when Sidekiq is sent a
`USR1` signal in production when logrotate happens:

```
log writing failed. stream closed in another thread
Error encountered while starting Sidekiq: can't be called from trap context\n/var/www/discourse/vendor/bundle/ruby/3.3.0/gems/unicorn-6.1.0/lib/unicorn/util.rb:71:in `reopen'
```

I'm not quite sure where the error is triggered from so I'm improving
the way we log errors.

lib/demon/sidekiq.rb

@@ -35,9 +35,18 @@ class Demon::Sidekiq < ::Demon::Base
 
     # Unicorn uses USR1 to indicate that log files have been rotated
     Signal.trap("USR1") do
+      begin
         log_in_trap("Sidekiq reopening logs...")
         Unicorn::Util.reopen_logs
         log_in_trap("Sidekiq done reopening logs...")
+      rescue => error
+        log_in_trap(
+          "Error encountered while reopening logs: [#{error.class}] #{error.message}\n#{error.backtrace.join("\n")}",
+          level: :error,
+        )
+
+        exit 1
+      end
     end
 
     options = ["-c", GlobalSetting.sidekiq_workers.to_s]
@@ -58,8 +67,12 @@ class Demon::Sidekiq < ::Demon::Base
     cli.parse(options)
     load Rails.root + "config/initializers/100-sidekiq.rb"
     cli.run
-  rescue => e
+  rescue => error
-    log("Error encountered while starting Sidekiq: #{e.message}\n#{e.backtrace.join("\n")}")
+    log(
+      "Error encountered while starting Sidekiq: [#{error.class}] #{error.message}\n#{error.backtrace.join("\n")}",
+      level: :error,
+    )
+
     exit 1
   end
 end