Use private lookup for these handles #399

Job	Run time
ruby-versions / Generate Ruby versions	4s
ubuntu-24.04 2.7	48s
ubuntu-24.04 3.0	19s
ubuntu-24.04 3.1	20s
ubuntu-24.04 3.2	21s
ubuntu-24.04 3.3	29s
ubuntu-24.04 3.4	18s
ubuntu-24.04 debug	26s
ubuntu-24.04 head	20s
ubuntu-24.04 jruby-head	1m 9s
ubuntu-24.04 truffleruby-head	45s
ubuntu-22.04 2.7	44s
ubuntu-22.04 3.0	21s
ubuntu-22.04 3.1	30s
ubuntu-22.04 3.2	22s
ubuntu-22.04 3.3	23s
ubuntu-22.04 3.4	21s
ubuntu-22.04 debug	25s
ubuntu-22.04 head	23s
ubuntu-22.04 jruby-head	1m 16s
ubuntu-22.04 truffleruby-head	46s
	10m 50s

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