Refactor client integration testing workflow to build `ql-mcp-client`… #4

Job	Run time
CODEQL_PATH Tests (macos-latest)	1m 42s
Build and Unit Test (ubuntu-latest)	28s
CODEQL_PATH Tests (ubuntu-latest)	48s
Build and Unit Test (windows-latest)	1m 52s
CODEQL_PATH Tests (windows-latest)	1m 36s
Integration Tests (windows-latest, stdio)	18m 10s
Integration Tests (windows-latest, http)	19m 8s
Integration Tests (ubuntu-latest, stdio)	12m 20s
Integration Tests (ubuntu-latest, http)	12m 58s
	1h 9m 2s

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