Eric Eastwood b7e7f537f1
Refactor background process metrics to be homeserver-scoped (#18670)
Part of https://github.com/element-hq/synapse/issues/18592

Separated out of https://github.com/element-hq/synapse/pull/18656
because it's a bigger, unique piece of the refactor


### Testing strategy

 1. Add the `metrics` listener in your `homeserver.yaml`
    ```yaml
    listeners:
      # This is just showing how to configure metrics either way
      #
      # `http` `metrics` resource
      - port: 9322
        type: http
        bind_addresses: ['127.0.0.1']
        resources:
          - names: [metrics]
            compress: false
      # `metrics` listener
      - port: 9323
        type: metrics
        bind_addresses: ['127.0.0.1']
    ```
1. Start the homeserver: `poetry run synapse_homeserver --config-path
homeserver.yaml`
1. Fetch `http://localhost:9322/_synapse/metrics` and/or
`http://localhost:9323/metrics`
1. Observe response includes the background processs metrics
(`synapse_background_process_start_count`,
`synapse_background_process_db_txn_count_total`, etc) with the
`server_name` label
2025-07-23 13:28:17 -05:00
..