[jdk21u-dev] RFR: 8333013: Update vmTestbase/nsk/share/LocalProcess.java to don't use finalization

[Goetz Lindenmaier]

I backport this for parity with 21.0.8-oracle.

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Commit messages:
 - Backport bc7d9e3d0bc663bbbeb068889082da4a9f0fa8de

Changes: https://git.openjdk.org/jdk21u-dev/pull/1722/files
  Webrev: https://webrevs.openjdk.org/?repo=jdk21u-dev&pr=1722&range=00
  Issue: https://bugs.openjdk.org/browse/JDK-8333013
  Stats: 343 lines in 3 files changed: 156 ins; 179 del; 8 mod
  Patch: https://git.openjdk.org/jdk21u-dev/pull/1722.diff
  Fetch: git fetch https://git.openjdk.org/jdk21u-dev.git pull/1722/head:pull/1722

PR: https://git.openjdk.org/jdk21u-dev/pull/1722