extension: Add debug_adapters to extension manifest (#30676)

Also pass worktree to the get_dap_binary.

Release Notes:

- N/A

crates/remote_server/Cargo.toml

@@ -30,6 +30,7 @@ chrono.workspace = true
 clap.workspace = true
 client.workspace = true
 dap_adapters.workspace = true
+debug_adapter_extension.workspace = true
 env_logger.workspace = true
 extension.workspace = true
 extension_host.workspace = true

crates/remote_server/src/headless_project.rs

@@ -76,6 +76,7 @@ impl HeadlessProject {
         }: HeadlessAppState,
         cx: &mut Context<Self>,
     ) -> Self {
+        debug_adapter_extension::init(proxy.clone(), cx);
         language_extension::init(proxy.clone(), languages.clone());
         languages::init(languages.clone(), node_runtime.clone(), cx);