Deprecate roots, sampling, and logging methods per SEP-2577 #2834

Job	Run time
checks / readme-snippets	11s
checks / pre-commit	44s
checks / test (3.11, lowest-direct, windows-latest)	1m 37s
checks / test (3.11, locked, windows-latest)	1m 34s
checks / test (3.13, lowest-direct, windows-latest)	1m 48s
checks / test (3.10, lowest-direct, windows-latest)	1m 32s
checks / test (3.10, lowest-direct, ubuntu-latest)	1m 9s
checks / test (3.10, locked, windows-latest)	1m 30s
checks / test (3.12, locked, ubuntu-latest)	58s
checks / test (3.11, lowest-direct, ubuntu-latest)	1m 6s
checks / test (3.12, lowest-direct, windows-latest)	1m 32s
checks / test (3.10, locked, ubuntu-latest)	1m 0s
checks / test (3.13, locked, ubuntu-latest)	56s
checks / test (3.12, lowest-direct, ubuntu-latest)	1m 3s
checks / test (3.13, lowest-direct, ubuntu-latest)	59s
checks / test (3.11, locked, ubuntu-latest)	59s
checks / test (3.13, locked, windows-latest)	1m 29s
checks / test (3.12, locked, windows-latest)	1m 27s
checks / test (3.14, lowest-direct, ubuntu-latest)	47s
checks / test (3.14, locked, ubuntu-latest)	1m 33s
checks / test (3.14, lowest-direct, windows-latest)	1m 6s
checks / test (3.14, locked, windows-latest)	2m 48s
all-green	2s
	27m 50s

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