refactor: clean up solana network syncing logic #6172

Job	Run time
code_style (lint)	2m 37s
Bundle size check	2m 29s
test	1m 58s
code_style (prettier)	1m 52s
code_style (typecheck)	2m 14s
code_style (build:sample-apps)	3m 21s
ui-test / Playwright Tests (1, 5)	6m 42s
ui-test / Playwright Tests (2, 5)	6m 46s
ui-test / Playwright Tests (3, 5)	6m 44s
ui-test / Playwright Tests (4, 5)	6m 44s
ui-test / Playwright Tests (5, 5)	6m 44s
ui-test / setup_playwright_runners / setup-runners	51s
	49m 2s

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