Remove timestamp from active log file

Nomad has recently introduced this change https://github.com/hashicorp/nomad/pull/11070 which removes the timestamp from the active logging file. This is highly desirable for us and makes it easy to provide some processes around agents (filebeat for example). We would love to see this feature make it to Consul as well and would like to request parity here.

Thanks!
Ian

Start by reviewing the linked Nomad change and then locate Consul's active log-file handling and any related tests. Done means Consul's active logging file no longer includes a timestamp, providing parity with Nomad; the issue does not identify specific Consul files or tests.

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