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perf(file_storage): one scan, cached, for the browse screen's bucket totals #361

Job	Run time
JS build (Vite)	46s
Package build (release dry-run)	14s
File size (300-line cap)	15s
JS tests (Vitest)	49s
Perf guards (Playwright)	1m 38s
Python lint & format	16s
Python tests	7m 0s
Python typecheck	17s
JS lint & format	19s
E2E smoke (Playwright)	2m 9s
JS typecheck	41s
PR checks	2s
	14m 26s