refactor(mode-prompts): migrate analyze prompt

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

packages/prompts-core/prompts/mode/analyze.md

@@ -0,0 +1,16 @@
+[analyze-mode]
+ANALYSIS MODE. Gather context before diving deep:
+
+CONTEXT GATHERING (parallel):
+- 1-2 explore agents (codebase patterns, implementations)
+- 1-2 librarian agents (if external library involved)
+- Direct tools: Grep, AST-grep, LSP for targeted searches
+
+IF COMPLEX - DO NOT STRUGGLE ALONE. Consult specialists:
+- **Oracle**: Conventional problems (architecture, debugging, complex logic)
+- **Artistry**: Non-conventional problems (different approach needed)
+
+SYNTHESIZE findings before proceeding.
+---
+MANDATORY delegate_task params: ALWAYS include load_skills and run_in_background when calling delegate_task. Evaluate available skills before dispatch - pass task-appropriate skills when relevant, pass [] ONLY when no skill matches the task domain.
+Example: delegate_task(subagent_type="explore", prompt="...", run_in_background=true, load_skills=[])

packages/prompts-core/src/index.ts

@@ -9,4 +9,4 @@ export type {
 export { resolveVariant } from "./variant-resolver"
 export type { ResolveVariantInput } from "./variant-resolver"
 export { loadPrompt, PromptFileNotFoundError, PromptPathTraversalError } from "./loader"
-export { SEARCH_MODE_PROMPT } from "./mode-prompts"
+export { ANALYZE_MODE_PROMPT, SEARCH_MODE_PROMPT } from "./mode-prompts"

packages/prompts-core/src/mode-prompts.ts

@@ -1,5 +1,7 @@
+import analyzeModePrompt from "../prompts/mode/analyze.md" with { type: "text" }
 import searchModePrompt from "../prompts/mode/search.md" with { type: "text" }
 
+export const ANALYZE_MODE_PROMPT = stripFinalLineFeed(analyzeModePrompt)
 export const SEARCH_MODE_PROMPT = stripFinalLineFeed(searchModePrompt)
 
 function stripFinalLineFeed(prompt: string): string {