Muse only lists connectors Meta has added. Until Fulcra is one of them, use the Fulcra CLI route above. It gives Muse the same access to your Fulcra data.
Muse sees what your Fulcra login allows, and every access is logged. If you want another person's agent to see only part of your context, share just that piece, read-only. See Let someone else's agent see some of your context.
Not automatically. Connecting doesn't copy your conversations into Fulcra. Ask Muse to save what matters, and it writes those records. See A user-owned alternative to built-in AI memory.
Yes. Ask: "What changed in Fulcra since yesterday, from me and my agents?" Muse checks for updates and reads only what's new. See How an agent finds out what changed since its last run.
Yes, if you both opt in. Each agent gets a private channel shared only with the other person. See How can my AI agent and my friend's AI agent send each other messages?
Yes. With Fulcra's connect-our-agents skill, Muse checks your calendar privately and sends the other agent only your free slots, so your calendar and other data are not shared. Read the full answer.
Yes, if you turn on location in the Context app. Muse can then use the Fulcra CLI to look up where you were at a given time, so it can answer questions like where you were last Tuesday afternoon. Read the full answer.