Implement, test GetSumDistance for systematics manager #1193

Job	Run time
Test Tidy Enforcement on macOS	2m 52s
Web Tests	6m 39s
Enforce Tidyness	1m 23s
Tests (clang++, test-native-regular)	12m 23s
Tests (clang++, test-native-fulldebug)	12m 28s
Measure Test Coverage	14m 57s
Build Docker Image	8m 42s
Tests (clang++, test-native-opt)	24m 14s
Tests (clang++, test-examples)	9m 8s
Tests (clang++, test-demos)	3m 19s
Tests (g++, test-native-regular)	18m 3s
Tests (g++, test-native-fulldebug)	17m 6s
Tests (g++, test-native-opt)	24m 29s
Tests (g++, test-examples)	8m 40s
Tests (g++, test-demos)	3m 9s
Test Documentation Build	12m 8s
Deploy Documentation Coverage	0s
Deploy to DockerHub and ghcr.io	0s
	2h 59m 40s

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