chore: switch org with bt asynchronously #414

Job	Run time
Test	17s
Build	14s
Format	19s
Lint	24s
Build binary (braintrust-setup-darwin-arm64)	45s
Build binary (braintrust-setup-windows-arm64)	1m 27s
Build binary (braintrust-setup-darwin-x64)	1m 22s
Build binary (braintrust-setup-windows-x64)	52s
Build binary (braintrust-setup-linux-x64)	26s
Build binary (braintrust-setup-linux-arm64)	25s
	6m 31s

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