Every time I switch from Cursor to Claude Code I lose half my project context

Been bouncing between cursor, claude code and codex depending on what im doing. every time I switch the new agent has zero clue what the last one decided. first I tried manually pasting key decisions into CLAUDE.md and AGENTS.md before jumping tools. lasted about a week (kept forgetting to update them) and the files got stale so the agents acted on dead info. Then i wrote a script to pull context from cursor's state.vscdb and dump it into a markdown file for claude. worked exactly once. second time it pulled in SO much noise, old errors, abandoned approaches, and claude started referencing solutions I already threw out. What finally clicked was running MEMMY, which powered by memos. it can scans and analyzed the local chat histories i already have, the cursor db, claude json logs, codex rollouts, and gives each agent access to the same memory hub. you install a small skill into each agent's rules dir and they can just search and write to the same context. still testing if it mixes up context across different projects though, that's my main worry right now.