fix: record the external memory summary inside of the context viewer #5720

Job	Run time
unit-run (test_vector_embeddings.py)	51s
unit-run (test_client.py)	1m 59s
unit-run (test_client_legacy.py)	2m 9s
unit-run (test_server.py)	1m 14s
unit-run (test_v1_routes.py)	47s
unit-run (test_local_client.py)	57s
unit-run (test_managers.py)	1m 5s
unit-run (test_base_functions.py)	1m 0s
unit-run (test_tool_schema_parsing.py)	2m 13s
unit-run (test_tool_rule_solver.py)	45s
unit-run (test_memory.py)	45s
unit-run (test_utils.py)	51s
unit-run (test_stream_buffer_readers.py)	43s
	15m 19s

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