Deprecate roots, sampling, and logging methods per SEP-2577 #2853

Job	Run time
checks / readme-snippets	12s
checks / pre-commit	40s
checks / test (3.11, lowest-direct, windows-latest)	1m 40s
checks / test (3.10, locked, windows-latest)	1m 28s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 38s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 22s
checks / test (3.11, locked, ubuntu-latest)	57s
checks / test (3.10, lowest-direct, windows-latest)	1m 31s
checks / test (3.10, locked, ubuntu-latest)	1m 5s
checks / test (3.12, locked, ubuntu-latest)	1m 4s
checks / test (3.11, locked, windows-latest)	1m 30s
checks / test (3.13, locked, ubuntu-latest)	53s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 5s
checks / test (3.14, locked, windows-latest)	2m 16s
checks / test (3.14, lowest-direct, ubuntu-latest)	1m 17s
checks / test (3.12, lowest-direct, windows-latest)	1m 36s
checks / test (3.13, locked, windows-latest)	1m 35s
checks / test (3.14, lowest-direct, windows-latest)	1m 29s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 7s
checks / test (3.13, lowest-direct, windows-latest)	1m 44s
checks / test (3.14, locked, ubuntu-latest)	1m 43s
checks / test (3.12, locked, windows-latest)	1m 12s
all-green	3s
	29m 7s

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