Add eicjanadot plugin with enhanced plugin-based graph splitting and inter-plugin visualization (fix: iwyu) (#2041)

This PR applies the include-what-you-use fixes as suggested by
https://github.com/eic/EICrecon/actions/runs/17176834842.
Please merge this PR into the branch
`copilot/fix-fa2a3ce4-8a21-441e-9641-77391e5b455f`
to resolve failures in PR #2040.

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Author: wdconinc

src/utilities/eicjanadot/JEventProcessorJANADOT.cc

@@ -4,18 +4,21 @@
 #include "JEventProcessorJANADOT.h"
 
 #include <JANA/JApplicationFwd.h>
-#include <JANA/Services/JParameterManager.h>
 #include <JANA/JEvent.h>
+#include <JANA/Services/JParameterManager.h>
 #include <JANA/Utils/JCallGraphRecorder.h>
-
-#include <iostream>
-#include <fstream>
-#include <sstream>
-#include <iomanip>
+#include <ctype.h>
+#include <stddef.h>
 #include <algorithm>
-#include <cmath>
 #include <chrono>
+#include <cmath>
+#include <fstream>
 #include <functional>
+#include <iomanip>
+#include <iostream>
+#include <memory>
+#include <sstream>
+#include <utility>
 
 void JEventProcessorJANADOT::Init() {
   // Get parameter manager

src/utilities/eicjanadot/JEventProcessorJANADOT.h

@@ -4,12 +4,11 @@
 #pragma once
 
 #include <JANA/JEventProcessor.h>
-#include <JANA/Services/JParameterManager.h>
-
+#include <compare>
 #include <map>
-#include <string>
-#include <fstream>
+#include <mutex>
 #include <set>
+#include <string>
 #include <vector>
 
 class JEventProcessorJANADOT : public JEventProcessor {