Fix issues with nested widgets (#16327) #17516

Job	Run time
Lint	2m 1s
Build VSIX	1m 17s
Type Script Tests (ubuntu-latest, ts-unit)	1m 31s
Type Script Tests (windows-latest, ts-unit)	5m 6s
cancel_previous_runs	5s
Tests (raw, python, 3.10, ^[^@]+$\|@mandatory\|@kernelCore\|@python\|@jupyter, ubuntu-latest)	6m 4s
Tests (raw, python, 3.10, @widgets, ubuntu-latest)	4m 20s
Tests (raw, python, 3.10, @iw, ubuntu-latest)	4m 45s
Tests (raw, python, 3.10, @webview\|@export\|@lsp\|@variableViewer, ubuntu-latest)	4m 25s
Tests (raw, python, 3.10, @debugger, ubuntu-latest)	3m 19s
Tests (remote, python, 3.10, ^[^@]+$\|@mandatory, ubuntu-latest)	3m 45s
Tests (web, python, 3.10, ^[^@]+$\|@mandatory, ubuntu-latest)	2m 49s
Tests (raw, python, 3.10, ^[^@]+$\|@mandatory, windows-latest)	4m 46s
Tests (raw, python, 3.10, @widgets, ubuntu-latest, 8)	4m 22s
Tests (remote, python, 3.10, @widgets, ubuntu-latest, 8)	5m 8s
Tests (raw, conda, 3.10, ^[^@]+$\|@mandatory\|@python, ubuntu-latest)	3m 22s
Tests (raw, noPython, @nonPython, ubuntu-latest)	1m 41s
Tests (remote, python, 3.10, @kernelCore, ubuntu-latest)	4m 28s
Smoke tests (ubuntu-latest, 3.10)	1m 38s
Smoke tests (windows-latest, 3.10)	4m 29s
Smoke tests (macos-latest, 3.10)	1m 54s
	1h 11m 15s

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