fix: Remove logging initialization from `MCPServer.init` #507

Job	Run time
checks / pre-commit	31s
checks / readme-snippets	15s
checks / test (3.10, locked, ubuntu-latest)	51s
checks / test (3.10, lowest-direct, windows-latest)	2m 31s
checks / test (3.10, locked, windows-latest)	2m 15s
checks / test (3.10, lowest-direct, ubuntu-latest)	56s
checks / test (3.11, lowest-direct, windows-latest)	2m 36s
checks / test (3.12, locked, windows-latest)	3m 20s
checks / test (3.13, lowest-direct, windows-latest)	2m 41s
checks / test (3.13, locked, windows-latest)	2m 25s
checks / test (3.12, lowest-direct, windows-latest)	3m 33s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 2s
checks / test (3.13, lowest-direct, ubuntu-latest)	49s
checks / test (3.14, locked, ubuntu-latest)	2m 13s
checks / test (3.13, locked, ubuntu-latest)	44s
checks / test (3.14, lowest-direct, windows-latest)	3m 36s
checks / test (3.11, locked, windows-latest)	2m 26s
checks / test (3.12, locked, ubuntu-latest)	52s
checks / test (3.11, locked, ubuntu-latest)	52s
checks / test (3.11, lowest-direct, ubuntu-latest)	50s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 17s
checks / test (3.14, locked, windows-latest)	3m 8s
all-green	5s
	39m 48s

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