Remove the Path per (tree)types.Update but store a ref to the parent …

[steiler]

…Entry.

[codecov]

Codecov Report

❌ Patch coverage is 85.00000% with 6 lines in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
pkg/tree/types/update.go	73.33%	4 Missing ⚠️
pkg/tree/types/update_slice.go	0.00%	2 Missing ⚠️

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[alexandernorth]

LGTM