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You can create two providers

yes, you can create another provider, and pass it.

const awsSecondProvider = new aws.Provider("account-b", { profile: "account-b", region: "us-east-1" });

const coolSecret: pulumi.Output<string> = pulumi.output(aws.secretsmanager.getSecretVersion({ secretId: "shared-mariadb-database-master-lmy-secret-1234" }, { provider: awsSecondProvider, async: true })).secretString;