fix(resolver): carry root composer.json conflicts onto the in-pool root entry

The root pool entry now seeded from composer.json carried provides and
replaces but no conflicts, so a root-level conflict like
\`{"some/dep": ">=1.3"}\` was silently dropped. Composer keeps these on
the RootPackage (which lives in the pool via RootPackageRepository), and
the SAT generator turns them into rules that forbid any candidate matching
the constraint — including a branch alias that would resolve to a
matching version. Without that, Mozart cheerfully installs both the
required dev branch and its conflicting alias.

Plumb composer.json's \`conflict\` map through ResolveRequest as
root_conflict and project it onto the root pool entry as PoolLink
conflicts; all callers updated.

Unblocks conflict_on_root_with_alias_prevents_update_if_not_required and
conflict_with_alias_prevents_update installer fixtures.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

5 files changed, 32 insertions, 5 deletions

diff --git a/crates/mozart/src/commands/create_project.rs b/crates/mozart/src/commands/create_project.rs
index eceafd0..c0faa76 100644
--- a/crates/mozart/src/commands/create_project.rs
+++ b/crates/mozart/src/commands/create_project.rs
@@ -435,6 +435,11 @@ pub async fn execute(
             .iter()
             .map(|(k, v)| (k.clone(), v.clone()))
             .collect(),
+        root_conflict: raw
+            .conflict
+            .iter()
+            .map(|(k, v)| (k.clone(), v.clone()))
+            .collect(),
     };
 
     console.info("Resolving dependencies...");
diff --git a/crates/mozart/src/commands/remove.rs b/crates/mozart/src/commands/remove.rs
index f11e9c3..08f7cc6 100644
--- a/crates/mozart/src/commands/remove.rs
+++ b/crates/mozart/src/commands/remove.rs
@@ -269,6 +269,11 @@ pub async fn execute(
             .iter()
             .map(|(k, v)| (k.clone(), v.clone()))
             .collect(),
+        root_conflict: raw
+            .conflict
+            .iter()
+            .map(|(k, v)| (k.clone(), v.clone()))
+            .collect(),
     };
 
     // Print header messages
@@ -540,6 +545,11 @@ async fn remove_unused(
             .iter()
             .map(|(k, v)| (k.clone(), v.clone()))
             .collect(),
+        root_conflict: raw
+            .conflict
+            .iter()
+            .map(|(k, v)| (k.clone(), v.clone()))
+            .collect(),
     };
 
     console.info("Resolving dependencies to detect unused packages...");
@@ -891,6 +901,7 @@ mod tests {
             raw_repositories: vec![],
             root_provide: IndexMap::new(),
             root_replace: IndexMap::new(),
+            root_conflict: IndexMap::new(),
         };
         let resolved = resolve(&request)
             .await
@@ -945,6 +956,7 @@ mod tests {
             raw_repositories: vec![],
             root_provide: IndexMap::new(),
             root_replace: IndexMap::new(),
+            root_conflict: IndexMap::new(),
         };
         let resolved2 = resolve(&request2)
             .await
diff --git a/crates/mozart/src/commands/require.rs b/crates/mozart/src/commands/require.rs
index cac0dad..97d6b02 100644
--- a/crates/mozart/src/commands/require.rs
+++ b/crates/mozart/src/commands/require.rs
@@ -657,6 +657,11 @@ pub async fn execute(
             .iter()
             .map(|(k, v)| (k.clone(), v.clone()))
             .collect(),
+        root_conflict: raw
+            .conflict
+            .iter()
+            .map(|(k, v)| (k.clone(), v.clone()))
+            .collect(),
     };
 
     // Print header messages
@@ -1055,6 +1060,7 @@ mod tests {
             raw_repositories: vec![],
             root_provide: IndexMap::new(),
             root_replace: IndexMap::new(),
+            root_conflict: IndexMap::new(),
         };
 
         let resolved = resolver::resolve(&request)
@@ -1126,6 +1132,7 @@ mod tests {
             raw_repositories: vec![],
             root_provide: IndexMap::new(),
             root_replace: IndexMap::new(),
+            root_conflict: IndexMap::new(),
         };
 
         let resolved = resolver::resolve(&request)
diff --git a/crates/mozart/src/commands/update.rs b/crates/mozart/src/commands/update.rs
index db9d616..130d7e3 100644
--- a/crates/mozart/src/commands/update.rs
+++ b/crates/mozart/src/commands/update.rs
@@ -907,6 +907,11 @@ pub async fn run(
             .iter()
             .map(|(k, v)| (k.clone(), v.clone()))
             .collect(),
+        root_conflict: composer_json
+            .conflict
+            .iter()
+            .map(|(k, v)| (k.clone(), v.clone()))
+            .collect(),
     };
 
     // Step 6: Print header and run resolver
@@ -2017,6 +2022,7 @@ mod tests {
             raw_repositories: vec![],
             root_provide: IndexMap::new(),
             root_replace: IndexMap::new(),
+            root_conflict: IndexMap::new(),
         };
 
         let resolved = resolve(&request).await.expect("Resolution should succeed");
diff --git a/crates/mozart/tests/installer.rs b/crates/mozart/tests/installer.rs
index 0cf7e84..6ab083d 100644
--- a/crates/mozart/tests/installer.rs
+++ b/crates/mozart/tests/installer.rs
@@ -238,12 +238,9 @@ installer_fixture!(conflict_between_dependents);
 installer_fixture!(conflict_between_root_and_dependent);
 installer_fixture!(conflict_downgrade);
 installer_fixture!(conflict_downgrade_nested);
-installer_fixture!(
-    conflict_on_root_with_alias_prevents_update_if_not_required,
-    ignore
-);
+installer_fixture!(conflict_on_root_with_alias_prevents_update_if_not_required);
 installer_fixture!(conflict_with_alias_in_lock_does_prevents_install, ignore);
-installer_fixture!(conflict_with_alias_prevents_update, ignore);
+installer_fixture!(conflict_with_alias_prevents_update);
 installer_fixture!(conflict_with_alias_prevents_update_if_not_required);
 installer_fixture!(conflict_with_all_dependencies_option_dont_recommend_to_use_it);
 installer_fixture!(deduplicate_solver_problems);