chore(azure_monitor_logs sink): update log namespacing (#16475)

* Update sinks to use log namespacing

Signed-off-by: Stephen Wakely <fungus.humungus@gmail.com>

* Use the function

Signed-off-by: Stephen Wakely <fungus.humungus@gmail.com>

* add new option to avoid breaking changes

* +fix clippy

* +pr feedback

* +dh feedback

* +regen docs

* +kc feedback

---------

Signed-off-by: Stephen Wakely <fungus.humungus@gmail.com>
Co-authored-by: Spencer Gilbert <spencer.gilbert@datadoghq.com>