Full keyboard-navigation groundwork: update Clipboard internals logic #2984

Job	Run time
build_and_test (3.11, 22.x, :lint:python:client:common:smoke:stubs:)	3m 7s
build_and_test (3.11, 22.x, :server-1-of-2:)	7m 35s
build_and_test (3.11, 22.x, :server-2-of-2:)	7m 46s
build_and_test (3.11, 22.x, :nbrowser-^[A-D]:)	2m 46s
build_and_test (3.11, 22.x, :nbrowser-^[E-L]:)	2m 40s
build_and_test (3.11, 22.x, :nbrowser-^[M-N]:)	2m 27s
build_and_test (3.11, 22.x, :nbrowser-^[O-R]:)	2m 40s
build_and_test (3.11, 22.x, :nbrowser-^[^A-R]:)	2m 34s
build_and_test (:lint:python:client:common:smoke:, 22.x, 3.10)	3m 9s
candidate	0s
	34m 44s

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