change the way ada is linked to the build system

Link the ada library to ada module rather than building alongside main module.

build.zig

@@ -853,23 +853,31 @@ fn buildCurl(b: *Build, m: *Build.Module) !void {
 
 pub fn buildAda(b: *Build, m: *Build.Module) !void {
     const ada_dep = b.dependency("ada-singleheader", .{});
-    const dep_root = ada_dep.path("");
 
-    // Private module that binds ada functions.
     const ada_mod = b.createModule(.{
         .root_source_file = b.path("vendor/ada/root.zig"),
-        .target = m.resolved_target,
-        .optimize = m.optimize,
     });
 
-    // Expose headers; note that "ada.h" is a C++ header so no use here.
-    ada_mod.addIncludePath(dep_root);
-
-    ada_mod.addCSourceFiles(.{
-        .root = dep_root,
-        .files = &.{"ada.cpp"},
-        .flags = &.{"-std=c++20"},
+    const ada_lib = b.addLibrary(.{
+        .name = "ada",
+        .root_module = b.createModule(.{
+            .link_libcpp = true,
+            .target = m.resolved_target,
+            .optimize = m.optimize,
+        }),
+        .linkage = .static,
     });
 
+    ada_lib.addCSourceFile(.{
+        .file = ada_dep.path("ada.cpp"),
+        .flags = &.{ "-std=c++20", "-O3" },
+        .language = .cpp,
+    });
+
+    ada_lib.installHeader(ada_dep.path("ada_c.h"), "ada_c.h");
+
+    // Link the library to ada module.
+    ada_mod.linkLibrary(ada_lib);
+    // Expose ada module to main module.
     m.addImport("ada", ada_mod);
 }