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```client.create_flow_run(flow_id="&lt;flow id&gt;")```


not quite, with this you tell the prefect server that an instance of this flow needs to be run somewhere. This could be picked by any prefect agent communicating with your server.
You need to run a prefect agent in your flask route. That prefect agent can then pick up flows with `LocalRun`  run_configs, and run them in the agent process.

If you are building the flow in the flask route as well, check out `run_agent` :
<https://github.com/PrefectHQ/prefect/blob/8ce99d9752b175eeaf8a0b15ba3d0a80c221b69e/src/prefect/core/flow.py#L1543>
This, if I remember correctly, registers the flow with the correct run config, starts an agent locally, and tells server to start a flow run, which only the local agent can pick up.

If your flow is already registered, try spinning up a `LocalAgent`  in the flask route yourself:
<https://github.com/PrefectHQ/prefect/blob/master/src/prefect/agent/local/agent.py>
Note that you NEED your flow to be configured with `LocalRun`  if you want the flow to run in the agent process.