fix(web): preserve native fetch binding in room bootstrap

Author: lightsofapollo

.beads/export-state.json

@@ -1 +1 @@
-{"last_dolt_commit":"cbli8jikvvigeq5io8srh8avkjhquqgl","timestamp":"2026-07-11T21:19:41.676365-06:00","issues":312,"memories":13}
+{"last_dolt_commit":"cfv254di4h991se3v1vigto4t67052eh","timestamp":"2026-07-11T21:31:13.417758-06:00","issues":312,"memories":13}