feat: inject global rules into AI system prompt and fix Rules UI seeding

- Load global rules (AIFact/AIMemory) from local CloudModel and inject
  them into the Bedrock/OpenAI system prompt as a '## Global Rules' section
  when memory is enabled.
- Fix rule seeding: always re-seed predefined rules when the CloudModel has
  none, regardless of the has_seeded_predefined_rules flag (handles case
  where flag was set but rules never persisted due to prior missing owner).
- Rename /context slash command to /copy-context: dumps the full context
  window (global rules, progressive summary, message history) to the
  clipboard for debugging.

app/src/ai/agent/api.rs

@@ -152,6 +152,9 @@ pub struct RequestParams {
     /// can store them back into the conversation for the next request cycle.
     pub bedrock_messages_sent:
         std::sync::Arc<std::sync::Mutex<Vec<crate::ai::bedrock::convert::ConversationMessage>>>,
+    /// Global rules (name, content) from the local CloudModel (AIFact/AIMemory).
+    /// Injected into the system prompt when `is_memory_enabled` is true.
+    pub global_rules: Vec<(String, String)>,
 }
 
 pub type Event = Result<warp_multi_agent_api::ResponseEvent, Arc<AIApiError>>;
@@ -216,6 +219,7 @@ impl RequestParams {
             bedrock_progressive_summary: None,
             bedrock_tool_result_archive: vec![],
             bedrock_messages_sent: std::sync::Arc::new(std::sync::Mutex::new(vec![])),
+            global_rules: vec![],
         }
     }
 
@@ -421,6 +425,31 @@ impl RequestParams {
             bedrock_progressive_summary: None,
             bedrock_tool_result_archive: Vec::new(),
             bedrock_messages_sent: std::sync::Arc::new(std::sync::Mutex::new(Vec::new())),
+            global_rules: if is_memory_enabled {
+                Self::load_global_rules(app)
+            } else {
+                vec![]
+            },
         }
     }
+
+    /// Load global rules (AIFact/AIMemory) from the local CloudModel.
+    fn load_global_rules(app: &AppContext) -> Vec<(String, String)> {
+        use crate::ai::facts::{AIFact, AIMemory, CloudAIFactModel};
+        use crate::cloud_object::model::generic_string_model::GenericStringObjectId;
+        use crate::cloud_object::model::persistence::CloudModel;
+
+        CloudModel::as_ref(app)
+            .get_all_objects_of_type::<GenericStringObjectId, CloudAIFactModel>()
+            .filter_map(|fact| {
+                let AIFact::Memory(AIMemory { name, content, .. }) =
+                    fact.model().string_model.clone();
+                if content.is_empty() {
+                    None
+                } else {
+                    Some((name.unwrap_or_default(), content))
+                }
+            })
+            .collect()
+    }
 }

app/src/ai/agent/api/impl.rs

@@ -150,6 +150,7 @@ pub async fn generate_multi_agent_output(
                 tool_result_archive: params.bedrock_tool_result_archive.clone(),
                 progressive_summary: params.bedrock_progressive_summary.clone(),
                 messages_sent: params.bedrock_messages_sent.clone(),
+                global_rules: params.global_rules.clone(),
             };
 
             match openai_translator::execute(translator_request, &mut request).await {
@@ -178,6 +179,7 @@ pub async fn generate_multi_agent_output(
                 bedrock_tool_result_archive: params.bedrock_tool_result_archive.clone(),
                 bedrock_progressive_summary: params.bedrock_progressive_summary.clone(),
                 bedrock_messages_sent: params.bedrock_messages_sent.clone(),
+                global_rules: params.global_rules.clone(),
             };
 
             match crate::ai::bedrock::translator::execute(translator_request, &mut request).await {

app/src/ai/bedrock/e2e_tests.rs

@@ -1890,7 +1890,7 @@ async fn test_full_proto_round_trip_with_tool_history() {
     );
 
     let messages = super::request_translator::extract_messages_from_request(&request);
-    let system_prompt = super::request_translator::extract_system_prompt(&request);
+    let system_prompt = super::request_translator::extract_system_prompt(&request, &[]);
     let tools = super::request_translator::extract_tools(&request);
 
     println!("\n=== FULL PROTO ROUND-TRIP TEST ===");

app/src/ai/bedrock/request_translator.rs

@@ -954,7 +954,7 @@ fn collect_tool_result_ids(content: &MessageContent, ids: &mut std::collections:
     }
 }
 
-pub fn extract_system_prompt(request: &api::Request) -> Option<String> {
+pub fn extract_system_prompt(request: &api::Request, global_rules: &[(String, String)]) -> Option<String> {
     let mut prompt = String::with_capacity(2048);
 
     prompt.push_str("You are Galaxy, an AI coding assistant embedded in a terminal application. You help users with software engineering tasks including writing code, debugging, explaining concepts, and navigating codebases.\n\n");
@@ -1009,6 +1009,19 @@ pub fn extract_system_prompt(request: &api::Request) -> Option<String> {
         }
     }
 
+    // Inject global rules from the local CloudModel (stored as AIFact/AIMemory)
+    if !global_rules.is_empty() {
+        prompt.push_str("## Global Rules\n");
+        prompt.push_str("The following rules have been configured by the user and should be followed:\n\n");
+        for (name, content) in global_rules {
+            if !name.is_empty() {
+                prompt.push_str(&format!("### {}\n", name));
+            }
+            prompt.push_str(content);
+            prompt.push_str("\n\n");
+        }
+    }
+
     prompt.push_str("## Tool Usage\n");
     prompt.push_str("You have been given every tool you need to complete your tasks. Use them to achieve results with as few calls and as little back-and-forth as possible.\n\n");
     prompt.push_str("**How to choose tools:**\n");

app/src/ai/bedrock/translator.rs

@@ -18,6 +18,8 @@ pub struct TranslatorRequest {
     pub bedrock_tool_result_archive: Vec<ConversationMessage>,
     pub bedrock_progressive_summary: Option<String>,
     pub bedrock_messages_sent: Arc<Mutex<Vec<ConversationMessage>>>,
+    /// Global rules (name, content) from the local CloudModel.
+    pub global_rules: Vec<(String, String)>,
 }
 
 pub async fn execute(
@@ -104,7 +106,7 @@ pub async fn execute(
 
     request_translator::sanitize_messages_for_bedrock(&mut messages);
 
-    let system_prompt = request_translator::extract_system_prompt(request);
+    let system_prompt = request_translator::extract_system_prompt(request, &params.global_rules);
     let tools = request_translator::extract_tools(request);
 
     log::info!(

app/src/ai/facts/view/rule.rs

@@ -319,8 +319,10 @@ impl RuleView {
                 .on_click(|ctx| ctx.dispatch_typed_action(RuleViewAction::InitializeProject))
         });
 
-        // Seed predefined rules on first launch if no global rules exist
-        if ai_rules.is_empty() && !AISettings::as_ref(ctx).has_seeded_predefined_rules() {
+        // Seed predefined rules on first launch if no global rules exist.
+        // Also re-seed if the flag was set but rules are empty (e.g., prior bug
+        // where the flag was set but creation failed due to missing owner).
+        if ai_rules.is_empty() {
             if let Some(owner) = owner {
                 let update_manager = UpdateManager::handle(ctx);
                 update_manager.update(ctx, |update_manager, ctx| {

app/src/ai/openai/translator.rs

@@ -20,6 +20,8 @@ pub struct TranslatorRequest {
     pub tool_result_archive: Vec<ConversationMessage>,
     pub progressive_summary: Option<String>,
     pub messages_sent: Arc<Mutex<Vec<ConversationMessage>>>,
+    /// Global rules (name, content) from the local CloudModel.
+    pub global_rules: Vec<(String, String)>,
 }
 
 pub async fn execute(
@@ -106,7 +108,7 @@ pub async fn execute(
 
     sanitize_messages_for_openai(&mut messages);
 
-    let system_prompt = request_translator::extract_system_prompt(request);
+    let system_prompt = request_translator::extract_system_prompt(request, &params.global_rules);
     let tools = request_translator::extract_tools(request);
 
     log::info!(