Deprecate IntegratePeaksMD Version=1 (#39276)

### Description of work

The [algorithm
description](https://docs.mantidproject.org/nightly/algorithms/IntegratePeaksMD-v1.html#description)
describes this algorithm as deprecated, this officially marks it as
such.

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Fixes [10035: Deprecate IntegratePeaksMD
v1](https://ornlrse.clm.ibmcloud.com/ccm/resource/itemName/com.ibm.team.workitem.WorkItem/10035)

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### To test:

If you build the docs you should see the deprecated message.

Also running the algorithm will create the error message
"IntegratePeaksMD is deprecated (on 2025-05-05). Use IntegratePeaksMD
version 2 instead.". _e.g._

```pythom
LoadEventNexus(Filename=r'TOPAZ_3132_event.nxs',OutputWorkspace='TOPAZ_3132_nxs')
ConvertToDiffractionMDWorkspace(InputWorkspace='TOPAZ_3132_nxs',OutputWorkspace='TOPAZ_3132_md',LorentzCorrection='1')
FindPeaksMD(InputWorkspace='TOPAZ_3132_md',PeakDistanceThreshold='0.15',MaxPeaks='100',OutputWorkspace='peaks')
FindUBUsingFFT(PeaksWorkspace='peaks',MinD='2',MaxD='16')
peaks= IntegratePeaksMD(InputWorkspace='TOPAZ_3132_md', PeaksWorkspace='peaks',
     PeakRadius=0.12, BackgroundOuterRadius=0.2, BackgroundInnerRadius=0.16,
     OutputWorkspace='peaks', Version=1)
```


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Author: rosswhitfield

Framework/MDAlgorithms/inc/MantidMDAlgorithms/IntegratePeaksMD.h

@@ -8,6 +8,7 @@
 
 #include "MantidAPI/Algorithm.h"
 #include "MantidAPI/CompositeFunction.h"
+#include "MantidAPI/DeprecatedAlgorithm.h"
 #include "MantidAPI/IMDEventWorkspace_fwd.h"
 #include "MantidDataObjects/MDEventWorkspace.h"
 #include "MantidDataObjects/PeaksWorkspace.h"
@@ -22,8 +23,10 @@ namespace MDAlgorithms {
  * @author Janik Zikovsky
  * @date 2011-04-13 18:11:53.496539
  */
-class MANTID_MDALGORITHMS_DLL IntegratePeaksMD final : public API::Algorithm {
+class MANTID_MDALGORITHMS_DLL IntegratePeaksMD final : public API::Algorithm, public API::DeprecatedAlgorithm {
 public:
+  /// Default constructor
+  IntegratePeaksMD();
   /// Algorithm's name for identification
   const std::string name() const override { return "IntegratePeaksMD"; };
   /// Summary of algorithms purpose

Framework/MDAlgorithms/src/IntegratePeaksMD.cpp

@@ -44,6 +44,12 @@ using namespace Mantid::DataObjects;
 using namespace Mantid::Geometry;
 using namespace Mantid::HistogramData;
 
+/// Default constructor
+IntegratePeaksMD::IntegratePeaksMD() {
+  useAlgorithm("IntegratePeaksMD", 2);
+  deprecatedDate("2025-05-05");
+}
+
 /** Initialize the algorithm's properties.
  */
 void IntegratePeaksMD::init() {

docs/source/release/v6.13.0/Framework/Algorithms/Deprecated/39276.rst

@@ -0,0 +1 @@
+- :ref:`algm-IntegratePeaksMD-v1` has been deprecated, use :ref:`algm-IntegratePeaksMD-v2` instead.