refactor: local storage keys to appkit + network switch fixes #6177

Job	Run time
Bundle size check	2m 34s
test	2m 5s
code_style (lint)	2m 39s
code_style (prettier)	1m 42s
code_style (typecheck)	2m 12s
code_style (build:sample-apps)	3m 28s
ui-test / Playwright Tests (1, 5)	5m 16s
ui-test / Playwright Tests (2, 5)	5m 22s
ui-test / Playwright Tests (3, 5)	4m 57s
ui-test / Playwright Tests (4, 5)	5m 12s
ui-test / Playwright Tests (5, 5)	4m 58s
ui-test / setup_playwright_runners / setup-runners	39s
	41m 4s

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