Deprecate roots, sampling, and logging methods per SEP-2577 #2845

Job	Run time
checks / readme-snippets	14s
checks / pre-commit	40s
checks / test (3.10, lowest-direct, windows-latest)	1m 42s
checks / test (3.10, locked, ubuntu-latest)	1m 2s
checks / test (3.11, locked, ubuntu-latest)	58s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 9s
checks / test (3.11, lowest-direct, ubuntu-latest)	58s
checks / test (3.11, lowest-direct, windows-latest)	1m 27s
checks / test (3.11, locked, windows-latest)	1m 24s
checks / test (3.12, lowest-direct, windows-latest)	1m 34s
checks / test (3.14, lowest-direct, ubuntu-latest)	59s
checks / test (3.14, locked, ubuntu-latest)	1m 59s
checks / test (3.10, locked, windows-latest)	1m 39s
checks / test (3.14, locked, windows-latest)	1m 48s
checks / test (3.13, locked, ubuntu-latest)	54s
checks / test (3.12, locked, windows-latest)	1m 36s
checks / test (3.13, lowest-direct, windows-latest)	1m 33s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 5s
checks / test (3.13, lowest-direct, ubuntu-latest)	1m 4s
checks / test (3.12, locked, ubuntu-latest)	1m 8s
checks / test (3.13, locked, windows-latest)	1m 34s
checks / test (3.14, lowest-direct, windows-latest)	1m 20s
all-green	2s
	27m 49s

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