Route inbox emails to the right Slack channel automatically

flowchart TD trig>"new unread email arrives"]:::trig s0["check gmail for new email"]:::task s1["classify email category with ai"]:::svc s2["find matching slack channel"]:::task s3["post summary to channel"]:::svc trig --> s0 s0 --> s1 s1 --> s2 gx{"× does matching channel exist"}:::gate s2 --> gx p00["post to existing channel"]:::task gx -->|"channel exists"| p00 p10["create channel then post"]:::task gx -->|"no channel found"| p10 jn{"○ email posted"}:::gate p00 --> jn p10 --> jn jn --> s3 out[/"email routed to right channel"/]:::out pay{{"team never misses important email"}}:::pay s3 --> out out --> pay classDef task fill:#e7f6fe,stroke:#34b8f0,color:#2c2a29 classDef svc fill:#f6f8fa,stroke:#7c8795,color:#2c2a29 classDef mi fill:#e7f6fe,stroke:#0079a8,color:#2c2a29,stroke-width:2px classDef human fill:#fff,stroke:#0079a8,color:#0079a8 classDef store fill:#f6f8fa,stroke:#0079a8,color:#2c2a29 classDef trig fill:#00a4eb,stroke:#0079a8,color:#fff,font-weight:bold classDef trigtime fill:#00a4eb,stroke:#0079a8,color:#fff,font-weight:bold classDef trigdata fill:#8ad4f5,stroke:#0079a8,color:#06314c,font-weight:bold classDef gate fill:#fff,stroke:#e8a23d,color:#6b4708,font-weight:bold classDef out fill:#1f9d6b,stroke:#167a53,color:#fff,font-weight:bold classDef pay fill:#06314c,stroke:#021f33,color:#fff