build: bump versions of `NonlinearSolve` and sub-packages #339

Job	Run time
test (core, 1.10, ubuntu-latest)	19m 18s
downgrade (1.10, core)	16s
test (core, 1.10, macos-latest)	18m 55s
downgrade (1.10, downstream)	19s
test (core, 1.10, windows-latest)	33m 42s
downgrade (1.10, wrappers)	19s
test (core, 1, ubuntu-latest)	28m 51s
test (core, 1, macos-latest)	22m 46s
test (core, 1, windows-latest)	43m 29s
test (downstream, 1.10, ubuntu-latest)	13m 22s
test (downstream, 1.10, macos-latest)	8m 37s
test (downstream, 1.10, windows-latest)	17m 58s
test (downstream, 1, ubuntu-latest)	22m 32s
test (downstream, 1, macos-latest)	12m 56s
test (downstream, 1, windows-latest)	26m 35s
test (wrappers, 1.10, ubuntu-latest)	11m 35s
test (wrappers, 1.10, macos-latest)	7m 47s
test (wrappers, 1.10, windows-latest)	15m 34s
test (wrappers, 1, ubuntu-latest)	19m 25s
test (wrappers, 1, macos-latest)	12m 6s
test (wrappers, 1, windows-latest)	24m 44s
	6h 1m 6s

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