fix(collab): let a headerless caller mutate its own daemon's project #16784

Job	Run time
Resolve runner profiles	13s
Static gate	13s
Detect validation scopes	15s
Preflight	3m 37s
E2E Vitest	4m 59s
Workspace unit tests	1m 41s
UI P0 (project-workspace)	32m 5s
UI P0 (project-runtime)	34m 39s
UI P0 (workspace-restoration)	27m 41s
UI P0 (entry-settings)	45m 21s
Windows tools-pack payload tests	-1s
Web workspace tests	-1s
Playwright critical (${{ matrix.group }})	-1s
Playwright visual (${{ matrix.name }})	-1s
Validate workspace	2s
Runtime summary	3s
	2h 30m 45s

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