Deprecate roots, sampling, and logging methods per SEP-2577 #2844

Job	Run time
checks / readme-snippets	11s
checks / pre-commit	52s
checks / test (3.10, locked, windows-latest)	1m 26s
checks / test (3.10, lowest-direct, windows-latest)	1m 26s
checks / test (3.11, lowest-direct, windows-latest)	1m 37s
checks / test (3.11, lowest-direct, ubuntu-latest)	58s
checks / test (3.11, locked, windows-latest)	1m 30s
checks / test (3.12, locked, ubuntu-latest)	1m 5s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 3s
checks / test (3.12, lowest-direct, windows-latest)	1m 26s
checks / test (3.14, lowest-direct, ubuntu-latest)	50s
checks / test (3.13, lowest-direct, windows-latest)	1m 53s
checks / test (3.13, locked, ubuntu-latest)	59s
checks / test (3.14, locked, ubuntu-latest)	1m 56s
checks / test (3.14, locked, windows-latest)	2m 14s
checks / test (3.12, locked, windows-latest)	1m 38s
checks / test (3.14, lowest-direct, windows-latest)	1m 28s
checks / test (3.10, locked, ubuntu-latest)	1m 5s
checks / test (3.11, locked, ubuntu-latest)	58s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 0s
checks / test (3.13, locked, windows-latest)	1m 32s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 2s
all-green	4s
	28m 13s

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