feat: Implement new memory processing prompts and XML structures

- Added final finalize prompt for session summary generation with required XML fields.
- Introduced recommended prompt flow with structured observation format and hierarchical storage principles.
- Created final init prompt for processing tool executions with clear guidelines on when to store observations.
- Developed final observation prompt for analyzing tool outputs and generating structured observations.
- Migrated old prompt flow to a new system with improved clarity and structured data handling.
- Updated parser and storage mechanisms to accommodate new observation formats and fields.
- Enhanced documentation for new prompts and their usage in memory processing sessions.

docs/prompts/publish/prompt-finalize.mdx

@@ -0,0 +1,17 @@
+MEMORY PROCESSING SESSION COMPLETED
+===================================
+This session has completed. Review the observations you generated and create a session summary.
+
+Output this XML:
+<summary>
+  <request>[What did the user request?]</request>
+  <investigated>[What code and systems did you explore?]</investigated>
+  <learned>[What did you learn about the codebase?]</learned>
+  <completed>[What was accomplished in this session?]</completed>
+  <next_steps>[What should be done next?]</next_steps>
+  <notes>[Additional insights or context]</notes>
+</summary>
+
+**Required fields**: request, investigated, learned, completed, next_steps
+
+**Optional fields**: notes