[FLINK-36502] [table] Remove deprecated methods in FactoryUtil (#25559) #6

Job	Run time
Pre-compile Checks / Basic QA	12m 9s
Default (Java 11) / Compile	28m 5s
Default (Java 11) / Test packaging/licensing	33m 43s
Default (Java 11) / E2E (group 1)	1h 58m 12s
Default (Java 11) / Test (module: core)	30m 2s
Default (Java 11) / E2E (group 2)	2h 18m 39s
Default (Java 11) / Test (module: python)	28m 57s
Default (Java 11) / Test (module: table)	36m 25s
Default (Java 11) / Test (module: connect)	21m 38s
Default (Java 11) / Test (module: tests)	34m 13s
Default (Java 11) / Test (module: misc)	28m 24s
	8h 30m 27s

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