tests: Add initial bridge backend test.

tests/bridge_backend.rs

@@ -0,0 +1,37 @@
+use anyhow::bail;
+use async_trait::async_trait;
+
+use citrea_e2e::{
+    config::TestCaseConfig,
+    framework::TestFramework,
+    test_case::{TestCase, TestCaseRunner},
+};
+
+struct BasicBridgeBackendTest;
+
+#[async_trait]
+impl TestCase for BasicBridgeBackendTest {
+    fn test_config() -> TestCaseConfig {
+        TestCaseConfig {
+            with_bridge_backend: true,
+            with_sequencer: false,
+            ..Default::default()
+        }
+    }
+
+    async fn run_test(&mut self, f: &mut TestFramework) -> citrea_e2e::Result<()> {
+        let Some(_da) = f.bitcoin_nodes.get(0) else {
+            bail!("bitcoind not running!")
+        };
+        let Some(_bridge_backend) = f.bridge_backend_nodes.get(0) else {
+            bail!("Bridge backend is not running!")
+        };
+
+        Ok(())
+    }
+}
+
+#[tokio::test]
+async fn basic_prover_test() -> citrea_e2e::Result<()> {
+    TestCaseRunner::new(BasicBridgeBackendTest).run().await
+}