Fix configuring loggers found in 'PREFECT_LOGGING_EXTRA_LOGGERS' #19288

Job	Run time
docker, python:3.9	5m 35s
docker, python:3.10	5m 21s
Server Tests - python:3.9, postgres:14	6m 18s
typesafety	2m 2s
docker, python:3.11	5m 2s
docker, python:3.12	5m 19s
Server Tests - python:3.10, postgres:14	6m 8s
Server Tests - python:3.11, postgres:14	5m 15s
Server Tests - python:3.12, postgres:14	5m 39s
Server Tests - python:3.9, sqlite	6m 42s
Server Tests - python:3.10, sqlite	6m 27s
Server Tests - python:3.11, sqlite	5m 39s
Server Tests - python:3.12, sqlite	6m 16s
Database and Orchestration Tests - python:3.9, postgres:14	7m 15s
Database and Orchestration Tests - python:3.10, postgres:14	7m 10s
Database and Orchestration Tests - python:3.11, postgres:14	6m 37s
Database and Orchestration Tests - python:3.12, postgres:14	7m 4s
Database and Orchestration Tests - python:3.9, sqlite	9m 5s
Database and Orchestration Tests - python:3.10, sqlite	8m 32s
Database and Orchestration Tests - python:3.11, sqlite	7m 53s
Database and Orchestration Tests - python:3.12, sqlite	9m 14s
Client Tests - python:3.9, postgres:14	10m 57s
Client Tests - python:3.10, postgres:14	9m 49s
Client Tests - python:3.11, postgres:14	8m 38s
Client Tests - python:3.12, postgres:14	9m 51s
Runner, Worker, Settings, Input, and CLI Tests - python:3.9, postgres:14	6m 48s
Runner, Worker, Settings, Input, and CLI Tests - python:3.10, postgres:14	6m 46s
Runner, Worker, Settings, Input, and CLI Tests - python:3.11, postgres:14	5m 58s
Runner, Worker, Settings, Input, and CLI Tests - python:3.12, postgres:14	6m 38s
	3h 19m 58s

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