Fix mode-aware-terminal-subscribe E2E: revert overly broad startPipe … #1728

Job	Run time
Embedding Integration Tests	33s
Lint	35s
Unit Tests (macOS)	2m 29s
Typecheck	52s
Unit Tests (Node 22)	2m 30s
Unit Tests (Node 24)	2m 30s
Secret Scan (gitleaks)	7s
Web Tests (Unit)	50s
Unit Tests (Windows ConPTY)	1m 15s
Web Tests (Components)	56s
Unit Tests (Windows)	1m 8s
Server Unit Tests	1m 1s
Server DB Integration Tests	59s
Repo Provider Integration Tests	42s
E2E Tests	1m 7s
Coverage Report	7m 29s
Docker Build & Push	1m 34s
Android Release Build	3m 32s
Publish to npm	3m 53s
	34m 2s

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