Add better `needs_web` check to CI #5268

Job	Run time
Ready-to-merge gate / Missing "ready-to-merge" label	4s
auth_token_check / auth_token_check	3s
diff_check / diff_check	9s
detect-changes / Detect file changes	7s
metrics (new, android)	16m 7s
metrics (legacy, ios)	15m 53s
metrics (legacy, android)	16m 19s
metrics (new, ios)	16m 54s
Build RN 0.84.0 legacy hermes ios production dynamic	4m 11s
Build RN 0.71.19 legacy jsc ios production no	6m 39s
Build RN 0.84.0 legacy hermes ios production no	4m 52s
Build RN 0.71.19 legacy hermes android production no	5m 3s
Build RN 0.84.0 legacy hermes android production no	5m 47s
Build RN 0.84.0 legacy hermes ios production static	4m 12s
Build RN 0.84.0 new hermes android production no	5m 30s
Build RN 0.84.0 new hermes ios production static	4m 10s
Build RN 0.71.19 legacy jsc android production no	4m 39s
Build RN 0.84.0 new hermes ios production no	4m 1s
Build RN 0.71.19 legacy hermes ios production no	6m 37s
Test RN 0.84.0 new hermes android production no	6m 47s
Test RN 0.84.0 new hermes ios production no	5m 22s
Test RN 0.84.0 legacy hermes android production no	6m 32s
Test RN 0.84.0 legacy hermes ios production no	4m 9s
	2h 24m 7s

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